Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

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

Options:

$\frac{1}{2}$

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

$-\frac{1}{2}$

none of these

Correct Answer:

$\frac{1}{2}$

Explanation:

We have, 

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

$ ⇒ 4sin^{-1}x +\frac{\pi}{2}- sin^{-1}x = \pi $

$⇒3sin^{-1}x=\frac{\pi}{2}⇒ x = sin \left(\frac{\pi}{6}\right) =\frac{1}{2}$