jee-main 2022 Q71

jee-main · India · session2_28jul_shift1 Reciprocal Trig & Identities
Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation $\cos^{-1}x - 2\sin^{-1}x = \cos^{-1}(2x)$ is equal to
(1) 0
(2) 1
(3) $\frac{1}{2}$
(4) $-\frac{1}{2}$
Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation $\cos^{-1}x - 2\sin^{-1}x = \cos^{-1}(2x)$ is equal to\\
(1) 0\\
(2) 1\\
(3) $\frac{1}{2}$\\
(4) $-\frac{1}{2}$