Question

If sin (sin^-1 x) = x, the interval in which x lies is__

• A. –p/2 ≤ p≤ p/2
• B. – 1 ≤ ≤ 1
• C. – p/2 < p< p/2
• D. 1 <<1

Answer 1

The correct option is B

– 1 ≤ ≤ 1

From the definition of the inverse functions, it follows that sin (sin-1) =

if - 1≤ ≤1.

Here x, is not the angle but the value of the angle.