The function is defined on

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

The function f(x)=sin⁡xf(x)=\sin x is defined on [−π/2, 3π/2][-\pi/2,\,3\pi/2]. Determine the smallest sub-interval of this domain that contains x=π/4x=\pi/4 and on which ff is invertible onto [−1,1][-1,1]. Write the interval only.

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