If $4 \cos ^{-1} x+\sin ^{-1} x=\pi$, then $x$ equals to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Application +4 | -1

4 \cos ^{-1} x+\sin ^{-1} x=\pi

, then

x

equals to

View answer and explanation

Correct option: D

\frac{\sqrt{3}}{2}

Option D (

\frac{\sqrt{3}}{2}

) is correct because using the identity sin⁻¹x + cos⁻¹x = π/2 simplifies the equation, leading to x = √3/2.

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