If , then the sum of all possible values of…

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

Problem

If cos⁡−1x=sin⁡−1(3x)\cos^{-1}x=\sin^{-1}(3x), then the sum of all possible values of xx equals: (a) 00 (b) 110\frac{1}{\sqrt{10}} (c) 210\frac{2}{\sqrt{10}} (d) −210-\frac{2}{\sqrt{10}}

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