RD SHARMA Solutions for Class 10 Maths Chapter 10 - Trigonometric Ratios
Chapter 10 - Trigonometric Ratios Exercise Ex. 10.1
Question 1 (i)
Solution 1 (i)
Question 1 (ii)
Solution 1 (ii)
Question 1 (iii)
Solution 1 (iii)
Question 1 (iv)
Solution 1 (iv)
Question 1 (v)
Solution 1 (v)
Question 1 (vi)
Solution 1 (vi)
Question 1 (vii)
Solution 1 (vii)
Question 1 (viii)
Solution 1 (viii)
Question 1 (ix)
Solution 1 (ix)
Question 1 (x)
Solution 1 (x)
Question 1 (xi)
Solution 1 (xi)
Question 1 (xii)
Solution 1 (xii)
Question 2
In 
ABC right angled at B, AB = 24 cm, BC = 7 cm. Determine
(i) sin A, cos A
(ii) sin C, cos C
Solution 2
In ABC by applying Pythagoras theorem
AC2 = AB2 + BC2
= (24)2 + (7)2
= 576 + 49
= 625
AC = 
= 25 cm 
Question 3
Solution 3
Question 4
Solution 4
Question 5
Given 15 cot A = 8. Find sin A and sec A
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Chapter 10 - Trigonometric Ratios Exercise Ex. 10.2
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26 (i)
Solution 26 (i)
Question 26 (ii)
Solution 26 (ii)
Question 26 (iii)
Solution 26 (iii)
Question 26 (iv)
Solution 26 (iv)
Question 27 (i)
If A = B = 60o, verify that cos (A - B) = cos A cos B + sin A sin B
Solution 27 (i)
Question 27 (ii)
Solution 27 (ii)
Question 27 (iii)
Solution 27 (iii)
Question 28 (i)
Solution 28 (i)
Question 28 (ii)
Solution 28 (ii)
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
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
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
Solution 39
Question 40
Prove that
Solution 40
Chapter 10 - Trigonometric Ratios Exercise Ex. 10.3
Question 1
Solution 1
Question 2 (i)
Solution 2 (i)
Question 2 (ii)
Solution 2 (ii)
Question 2 (iii)
Solution 2 (iii)
Question 2 (iv)
Solution 2 (iv)
Question 2 (v)
Solution 2 (v)
Question 2 (vi)
Solution 2 (vi)
Question 2 (vii)
Solution 2 (vii)
Question 2 (viii)
Solution 2 (viii)
Question 2 (ix)
Solution 2 (ix)
Question 2 (x)
Solution 2 (x)
Question 2 (xi)
Solution 2 (xi)
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
Question 4
Solution 4
Question 5
If sin 3A = cos (A - 26o), where 3A is an acute angle, find the value of A.
Solution 5
Question 6(i)
Solution 6(i)
Question 6(ii)
Solution 6(ii)
Question 7 (i)
Solution 7 (i)
Question 7 (ii)
Solution 7 (ii)
Question 7 (iii)
Solution 7 (iii)
Question 7 (iv)
Solution 7 (iv)
Question 8 (i)
Solution 8 (i)
Question 8 (ii)
Solution 8 (ii)
Question 8 (iii)
Solution 8 (iii)
Question 8 (iv)
Solution 8 (iv)
Question 8 (v)
Solution 8 (v)
Question 9 (i)
Solution 9 (i)
Question 9 (ii)
Solution 9 (ii)
Question 9 (iii)
Solution 9 (iii)
Question 9 (iv)
Solution 9 (iv)
Question 9 (v)
Solution 9 (v)
Question 9 (vi)
Solution 9 (vi)
Question 9 (vii)
Solution 9 (vii)
Question 9 (viii)
Solution 9 (viii)
Question 9 (ix)
Solution 9 (ix)
Question 9 (x)
Solution 9 (x)
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Chapter 10 - Trigonometric Ratios Exercise 10.56
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
So, the correct option is (a).
Question 5
Solution 5
Question 6
Solution 6
Chapter 10 - Trigonometric Ratios Exercise 10.57
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
So, the correct option is (d).
Question 11
Solution 11
So, the correct option is (c).
Question 12
Solution 12
Question 13
Solution 13
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
Question 15
Solution 15
So, the correct option is (b).
Question 16
Solution 16
So, the correct option is (a).
Question 17
Solution 17
So, the correct option is (b).
Question 18
Solution 18
So, the correct option is (d).
Chapter 10 - Trigonometric Ratios Exercise 10.58
Question 19
Solution 19
Question 20
Solution 20
So, the correct option is (b).
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27
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
So, the correct option is (a).
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Chapter 10 - Trigonometric Ratios Exercise 10.59
Question 33
Solution 33
So, the correct option is (c).
Question 34
Solution 34
Question 35
Solution 35
Other Chapters for CBSE Class 10 Mathematics
Chapter 1- Real Numbers Chapter 2- Polynomials Chapter 3- Pairs of Linear Equations in Two Variables Chapter 4- Quadratic Equations Chapter 5- Arithmetic Progressions Chapter 6- Co-ordinate Geometry Chapter 7- Triangles Chapter 8- Circles Chapter 9- Constructions Chapter 11- Trigonometric Identities Chapter 12- Heights and Distances Chapter 13- Areas Related to Circles Chapter 14- Surface Areas and Volumes Chapter 15- Statistics Chapter 16- ProbabilityRD SHARMA Solutions for CBSE Class 10 Subjects
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