Inverse Trigonometric Functions Question 239
Question: The value of $ {{\cos }^{-1}}( \cos \frac{5\pi }{3} )+{{\sin }^{-1}}( \cos \frac{5\pi }{3} ) $ is
[UPSEAT 2003]
Options:
A) $ \frac{\pi }{2} $
B) $ \frac{5\pi }{3} $
C) $ \frac{10\pi }{3} $
D) $ 0 $
Show Answer
Answer:
Correct Answer: A
Solution:
$ {{\cos }^{-1}}[ \cos \frac{5\pi }{3} ]+{{\sin }^{-1}}[ \frac{\cos 5\pi }{3} ]=\frac{\pi }{2} $ (Q $ {{\sin }^{-1}}x+{{\cos }^{-1}}x=\frac{\pi }{2} $ ).
BETA
