Exercise 4.1: Sine Function and Inverse Sine Function

EXERCISE 4.1

1. Find all the values of x such that

(i) -10π ≤ x ≤ 10π and sin x = 0 

(ii) -8π ≤ x ≤ 8π and sin x = -1.

2. Find the period and amplitude of

(i) y = sin7x

(ii) y = -sin ( 1/3 x )

(iii) y = 4 sin(-2x) .

3. Sketch the graph of y = sin ([1/3] x) for 0 ≤ x < 6π .

4.Find the value of 

5. For what value of x does sin x = sin−1 x ?

6. Find the domain of the following

7. Find the value of sin−1 

Answers: