Question

$\sin \{{\sin }^{-1}\frac{1}{2}+{\cos }^{-1}\frac{1}{2}\}=$

• A. $0$
• B. $-1$
• C. $2$
• D. $1$

Answer 1

The correct option is D $1$

We know, ${\sin }^{-1}\theta +{\cos }^{-1}\theta =\frac{\pi }{2}$
$\therefore \sin \{{\sin }^{-1}\frac{1}{2}+{\cos }^{-1}\frac{1}{2}\}=\sin \left(\frac{\pi }{2}\right)=1$