True or False? the statement sin (sin-1 x) = x for all real numbers in the interval −(𝜋)/2

Question

True or False? the statement sin (sin-1 x) = x for all real numbers in the interval −(𝜋)/2 < x < 𝜋/2 .

Jason B. · Accepted Answer

My answer to the arctan question also applies to this question.

Yefim S. · Answer

This is wrong. Must be: - 1 ≤ x ≤ 1

True or False? the statement sin (sin-1 x) = x for all real numbers in the interval −(𝜋)/2 < x < 𝜋/2 .