# RD SHARMA Solutions for Class 11-science Maths Chapter 5 - Trigonometric Functions

Page / Exercise

## Chapter 5 - Trigonometric Functions Exercise Ex. 5.1

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

Prove that cosθ(tanθ+2)(2 tanθ+1)=2 secθ+5 sinθ

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 1(i)
Solution 1(i)

Question 1(ii)
Solution 1(ii)
Question 1(iii)
Solution 1(iii)

Question 1(iv)
Solution 1(iv)
Question 2
Solution 2
Question 3
Solution 3

Question 4
Solution 4
Question 5
Solution 5

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 1(xiii)
Solution 1(xiii)
Question 1(xiv)
Solution 1(xiv)
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 3(i)
Solution 3(i)
Question 3(ii)
Solution 3(ii)
Question 3(iii)
Solution 3(iii)
Question 3(iv)
Solution 3(iv)
Question 3(v)
Solution 3(v)
Question 4

Solution 4

Question 5
Solution 5
Question 6(i)
Solution 6(i)
Question 6(ii)
Solution 6(ii)
Question 6(iii)
Solution 6(iii)
Question 7
Solution 7
Question 8(i)
Solution 8(i)
Question 8(ii)
Solution 8(ii)
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)

## Chapter 5 - Trigonometric Functions Exercise Ex. 5VSAQ

Question 1

Write the maximum and minimum values of.

Solution 1

Question 2

Write the maximum and minimum values of.

Solution 2

Question 3

Write the maximum value of.

Solution 3

Question 4

If, then write the value of .

Solution 4

Question 5

If, then write the value of.

Solution 5

Question 6

If, then write the value of.

Solution 6

Question 7

If, then write the value of.

Solution 7

Question 8

If, then write the value of.

Solution 8

The maximum value for sin(x) is 1 for all x.

Question 9

.

Solution 9

Question 10

A circular wire of radius 15cm is cut and bent so as to lie along the circumstance of a loop of radius 120cm. Write the measure of the angle subtended by it at the centre of the loop.

Solution 10

The radius of circular wire is 15 cm.

The circumference of circular wire is.

The radius of loop is 120 cm.

The circumference of loop is.

The circumference of a circle covers all the quadrants of the circle i.e. the angle subtended by it at the centre is.

The circular wire is cut and bent so as to lie along the circumstance of the loop.

So, circumference of circular wire covers

of the circumference of the loop.

Therefore the angle subtended by the circular wire is

.

Question 11

Write the value of

Solution 11

Question 12

Write the value of.

Solution 12

Question 13

If, then write the value of.

Solution 13

Question 14

If tan A + cot A=4, then write the value of

tan4A + cot4A.

Solution 14

Question 15

Write the least value of.

Solution 15

So the least value of is 2.

Question 16

If, then write the smallest interval in which the value of x lie.

Solution 16

Question 17

If, then write the value of .

Solution 17

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