The solutions set of inequation cos-1x

Question

The solutions set of inequation cos-1x < sin-1x is (A) [-1, 1] (B) [(1/√2), 1] (C) [0, 1] (D) ((1/√2), 1]

Tardigrade Admin · Accepted Answer

It is clear from the graph that the solution set of inequation cos-1 x < sin-1 x is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/333e726aec8865d9d4c976c30225a40d-.png" /> x ∈((1/√2), 1]

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

$[- 1, 1]$

$[\frac{1}{2}, 1]$

$[0, 1]$

$(\frac{1}{2}, 1]$

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

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

Q. The solutions set of inequation cos−1x<sin−1x is

[−1,1]

[2​1​,1]

[0,1]

(2​1​,1]