Inverse Trigonometric Functions Question 101

Question: The principal value of $ {{\sin }^{-1}}( -\frac{\sqrt{3}}{2} ) $ is

[Roorkee 1992]

Options:

A) $ \frac{-2\pi }{3} $

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

C) $ \frac{-2\pi }{3} $

D) $ \frac{5\pi }{3} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ {{\sin }^{-1}}( \frac{-\sqrt{3}}{2} )=-{{\sin }^{-1}}( \frac{\sqrt{3}}{2} )=-\frac{\pi }{3} $ .