Inverse Trigonometric Functions Question 164
Question: The principal value of $ {{\sin }^{-1}}( \sin \frac{5\pi }{3} ) $ is
[MP PET 1996]
Options:
A) $ \frac{5\pi }{3} $
B) $ -\frac{5\pi }{3} $
C) $ -\frac{\pi }{3} $
D) $ \frac{4\pi }{3} $
Show Answer
Answer:
Correct Answer: C
Solution:
$ {{\sin }^{-1}}( \sin \frac{5\pi }{3} )={{\sin }^{-1}}( -\frac{\sqrt{3}}{2} )=-\frac{\pi }{3} $ .
BETA
