Indicate the relations that can hold in their respective domains for infinitely many…

MATHEMATICS · Multi correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

Indicate the relations that can hold in their respective domains for infinitely many values of xx. (1) tan⁡∣tan⁡−1x∣=∣x∣\tan\lvert\tan^{-1}x\rvert=\lvert x\rvert (2) cot⁡∣cot⁡−1x∣=∣x∣\cot\lvert\cot^{-1}x\rvert=\lvert x\rvert (3) tan⁡−1∣tan⁡x∣=∣x∣\tan^{-1}\lvert\tan x\rvert=\lvert x\rvert (4) sin⁡∣sin⁡−1x∣=∣x∣\sin\lvert\sin^{-1}x\rvert=\lvert x\rvert

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