Inverse Trigonometric Functions Question 159

Question: The principal value of $ {{\sin }^{-1}}( -\frac{1}{2} ) $ is

Options:

A) $ \frac{\pi }{3} $

B) $ \frac{\pi }{6} $

C) $ -\frac{\pi }{3} $

D) $ -\frac{\pi }{6} $

Show Answer

Answer:

Correct Answer: D

Solution:

The principal value of $ {{\sin }^{-1}}( -\frac{1}{2} )={{\sin }^{-1}}\sin (-30^{o}) $

$ =-\frac{\pi }{6} $ .