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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 x x x .
(1) tan ∣ tan − 1 x ∣ = ∣ x ∣ \tan\lvert\tan^{-1}x\rvert=\lvert x\rvert tan ∣ tan − 1 x ∣ = ∣ x ∣
(2) cot ∣ cot − 1 x ∣ = ∣ x ∣ \cot\lvert\cot^{-1}x\rvert=\lvert x\rvert cot ∣ cot − 1 x ∣ = ∣ x ∣
(3) tan − 1 ∣ tan x ∣ = ∣ x ∣ \tan^{-1}\lvert\tan x\rvert=\lvert x\rvert tan − 1 ∣ tan x ∣ = ∣ x ∣
(4) sin ∣ sin − 1 x ∣ = ∣ x ∣ \sin\lvert\sin^{-1}x\rvert=\lvert x\rvert sin ∣ sin − 1 x ∣ = ∣ x ∣
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