Check your concept (Part 1)

Geometry Level 4

$\large \sin^{-1}(2\pi+x) + \cos^{-1}(2\pi+x) = \ ? \quad \text{for }x > 1$

None of these

2π + \frac{π}{2}

\frac{π}{2}

x + \frac{π}{2}

1 solution

Anurag Pandey
Dec 20, 2016

The identity that $sin^{-1}x + cos^{-1}x = \frac{π}{2}$ is true only in its domain , i.e., for $x \in [-1,1]$