​ Sin^-1(4/5) - sec^-1(5/4) = sin^-1(4/5) + cos^-1(4/5) ​

Question

Sin^-1(\(\frac{4}{5}\)) - sec^-1(\(\frac{5}{4}\)) = sin^-1\(\frac{4}{5}\) + cos^-1(\(\frac{4}{5}\))

(A) \(\frac{\pi}{2}\)

(B) 0

(C) π

(D) \(\frac{-\pi}{4}\)

Answer 1

Answer is (A)

sin^-1x + cos^-1x = \(\frac{\pi}{2}\)