The solutions set of inequation (\cos^{-1}x < ,\sin^{-1}x) i... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

The solutions set of inequation $\cos^{-1}x < \,\sin^{-1}x$ is

A

$[-1, 1]$

B

$\left[\frac{1}{\sqrt{2}}, 1\right]$

C

$[0, 1]$

D

$\left(\frac{1}{\sqrt{2}}, 1\right]$

Answer

$\left(\frac{1}{\sqrt{2}}, 1\right]$

Explanation

Solution

It is clear from the graph that the solution set of inequation $\cos^{-1} x < \sin^{-1} x$ is

$x \in\left(\frac{1}{\sqrt{2}}, 1\right]$