Question

State True or False

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

• A. True
• B. False

Answer 1

The correct option is B False

We have ${\sin }^{-1}x+{\cos }^{-1}x=\frac{\pi }{2}$ only when $x\in [-1,1]$.

Since $2\notin [-1,1]$, so ${\sin }^{-1}2+{\cos }^{-1}2\ne \frac{\pi }{2}$.