Question

Find the value of cos (sin⁻¹ x + cos⁻¹ x), |x| ≤ 1

Answer 1

$cos( {sin}^{ - 1} x + {cos}^{ - 1} x) = cos( \frac{\pi}{2} ) = 0$

we know,

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