Q. The range of the function $\sin{\left( \sin^{- 1}{x + \cos^{- 1}x} \right),\ |x| \leq 1}$ is
A) [-1, 1]
B) [1, -1]
C) {0}
D) {1}
Explanation
(d)
$\sin{\left( \sin^{- 1}{x + \cos^{- 1}x} \right) = \sin{\left( \frac{\pi}{2} \right) = 1}}$
$\therefore$ Range of $\sin{(\sin^{- 1}{x + \cos^{- 1}x})}$ is 1.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.