Q. If $\cos^{- 1}{\frac{3}{5} - \sin^{- 1}{\frac{4}{5} =}\cos^{- 1}{x,}}$ then $x$ is equal to
A) 0
B) 1
C) $- 1$
D) None of these
Explanation
(b)
$\therefore\cos^{- 1}{\frac{3}{5} - \sin^{- 1}{\frac{4}{5} = \cos^{- 1}x}}$
$\Rightarrow \sin^{- 1}{\frac{4}{5} - \sin^{- 1}{\frac{4}{5} = \cos^{- 1}x}}$
$\Rightarrow \cos^{- 1}{x = 0 \Rightarrow x = \cos 0 = 1}$
$\therefore x = 1$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.