Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Inverse Trigonometric Functions

Question:

If $\sin^{-1}x=\frac{π}{5}$ for some x ∈ [-1, 1], then the value of $\cos^{-1} x$ is:

Options:

$\frac{9π}{10}$

$\frac{7π}{10}$

$\frac{5π}{10}$

$\frac{3π}{10}$

Correct Answer:

$\frac{3π}{10}$

Explanation:

$\sin^{-1}x+\cos^{-1}=\frac{π}{2}⇒\cos^{-1}=\frac{π}{2}-\sin^{-1}x=\frac{π}{2}-\frac{π}{5}=\frac{3π}{10}$