Inverse Trigonometric Functions Question 222

Question: $\sin \sin ^{-1}\left( \frac{1}{2}+\cos ^{-1} \frac{1}{2}\right)=$

[EAMCET 1985]

Options:

A) 0

B) -1

C) 2

D) 1

Show Answer

Answer:

Correct Answer: D

Solution:

$ \sin ( {{\sin }^{-1}}\frac{1}{2}+{{\cos }^{-1}}\frac{1}{2} )=\sin \frac{\pi }{2}=1 $ .