RD SHARMA Solutions for Class 10 Maths Chapter 10 - Trigonometric Ratios

Chapter 10 - Trigonometric Ratios Exercise Ex. 10.1

Question 1 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

 

Solution 1 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (vi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (vi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (vii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (vii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (viii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (viii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (ix)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (ix)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (x)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (x)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (xi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (xi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 1 (xii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1 (xii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2

In Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric RatiosABC right angled at B, AB = 24 cm, BC = 7 cm. Determine

(i)  sin A, cos A
(ii)  sin C, cos C

Solution 2

In Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric RatiosABC by applying Pythagoras theorem
AC2 = AB2 + BC2
= (24)2 + (7)2
= 576 + 49
= 625
AC = Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios = 25 cm

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios
Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 3

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 3

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 5

Given 15 cot A = 8. Find sin A and sec A

Solution 5

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 6

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 6

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 7

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 7

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

 

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 14

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 14

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 18

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 18

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 19

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 19

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 20

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 20

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 21

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 21

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 22

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 22

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 23

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 23

 

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 24

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 24

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 25

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 25

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 26

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 26

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 27

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 27

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 28

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 28

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 29

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 29

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 30

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 30

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 31

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 31

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

 

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 32

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 32

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 33

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 33

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 34

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 34

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 35

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 35

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 36

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 36

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Chapter 10 - Trigonometric Ratios Exercise Ex. 10.2

Question 1

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 3

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 3

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 5

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 5

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 6

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 6

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 7

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 7

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 14

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 14

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 18

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 18

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 19

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 19

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 20

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 20

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 21

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 21

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 22

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 22

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 23

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 23

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 24

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 24

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 25

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 25

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 26 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 26 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 26 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 26 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 26 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 26 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 26 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 26 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 27 (i)

If A = B = 60o, verify that cos (A - B) = cos A cos B + sin A sin B

Solution 27 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 27 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 27 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 27 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 27 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 28 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 28 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 28 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 28 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 29

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 29

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 30

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 30

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 31

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 31

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 32

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 32

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 33

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 33

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 34

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 34

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric RatiosRd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios


Question 35

If sin (A - B) = sin A cos B - cos A sin B and cos(A - B) = cos A cos B + sin A sin B, find the values of sin 15o and cos 15o.

Solution 35

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 36

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 36

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 37

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 37

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 38

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 38

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 39

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 39

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 40

Prove that

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 40

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Chapter 10 - Trigonometric Ratios Exercise Ex. 10.3

Question 1

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (vi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (vi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (vii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (vii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (viii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (viii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (ix)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (ix)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (x)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (x)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2 (xi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2 (xi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 3

Express each one of the following in terms of trigonometric ratios of angles lying between 0o and 45o

(i) sin 59o + cos 56o

(ii) tan 65o + cot 49o

(iii) sec 76o + cosec 52o

(iv) cos 78o + sec 78o

(v) cosec 54o + sin 72o

(vi) cot 85o + cos 75o

(vii) sin 67o + cos 75o

Solution 3


Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 5

If sin 3A = cos (A - 26o), where 3A is an acute angle, find the value of A.

Solution 5

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 6(i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 6(i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 6(ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 6(ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 7 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 7 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 7 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 7 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 7 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 7 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 7 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 7 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (i)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (ii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (iii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (iv)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (v)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (vi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (vi)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (vii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (vii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (viii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (viii)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (ix)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (ix)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9 (x)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9 (x)

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 14

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 14

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Chapter 10 - Trigonometric Ratios Exercise 10.56

Question 1

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 1

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 2

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 2

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 3

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 3

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 4

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (a).

Question 5

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 5

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 6

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 6

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Chapter 10 - Trigonometric Ratios Exercise 10.57

Question 7

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 7

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 8

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 8

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 9

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 9

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 10

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (d).

Question 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 11

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (c).

Question 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 12

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 13

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 14

If A and B are complementary angles, then

(a) sin A = sin B

(b) cos A and cos B

(c) tan A = tan B

(d) sec A = cosec B

Solution 14

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 15

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (b).

Question 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 16

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (a).

Question 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 17

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (b).

Question 18

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 18

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (d).

Chapter 10 - Trigonometric Ratios Exercise 10.58

Question 19

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 19

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 20

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 20

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (b).

Question 21

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 21

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 22

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 22

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 23

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 23

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 24

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 24

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 25

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 25

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 26

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 26

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 27

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 27

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (d).

Question 28

Sin 2A = 2 sin A is true when A = 

(a) 0o

(b) 30o

(c) 45o

(d) 60o

Solution 28

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (a).

Question 29

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 29

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 30

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 30

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 31

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 31

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 32

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 32

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Chapter 10 - Trigonometric Ratios Exercise 10.59

Question 33

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 33

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

So, the correct option is (c).

Question 34

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 34

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Question 35

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios

Solution 35

Rd-sharma Solutions Cbse Class 10 Mathematics Chapter - Trigonometric Ratios