The value(s) of satisfying are given by

MATHEMATICS · Multi correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

The value(s) of xx satisfying sin⁡−1∣sin⁡x∣=sin⁡−1∣sin⁡x∣\sin^{-1}|\sin x|=\sqrt{\sin^{-1}|\sin x|} are given by, where nn is any integer: (1) nπ−1n\pi-1 (2) nπn\pi (3) nπ+1n\pi+1 (4) 2nπ+12n\pi+1

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