Target Exam

CUET

Subject

Section B1

Chapter

Inverse Trigonometric Functions

Question:

$\sin \left[ \frac{\pi}{3} + \sin^{-1} \left( \frac{1}{2} \right) \right]$ is equal to:

Options:

$1$

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{4}$

Correct Answer:

$1$

Explanation:

The correct answer is Option (1) → $1$ ##

$\sin \left[ \frac{\pi}{3} + \sin^{-1} \left( \frac{1}{2} \right) \right] = \sin \left( \frac{\pi}{3} + \frac{\pi}{6} \right)$

$= \sin \frac{\pi}{2} = 1$