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  4. The solutions set of inequation cos-1x < sin-1x is

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

WBJEEWBJEE 2011

Solution:

It is clear from the graph that the solution set of inequation $\cos^{-1} x < \sin^{-1} x$ is
image
$x \in\left(\frac{1}{\sqrt{2}}, 1\right]$