The solutions set of inequation \(\cos ^{-1} x < \sin ^{-1} x\) is, \([-1,1]\), \(\left[\frac{1}{\sqrt{2}}, 1\right]\), \([0,1]\), \(\left(\frac{1}{\sqrt{2}}, 1\right)\)

The solutions set of inequation \(\cos ^{-1} x

Question: Answered & Verified by Expert

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

MathematicsInverse Trigonometric FunctionsJEE Main

Options:

Solution:

1960 Upvotes Verified Answer

The correct answer is: \(\left(\frac{1}{\sqrt{2}}, 1\right)\)

Hints: \(\cos ^{-1} x < \sin ^{-1} x\)
\(x \in\left(\frac{1}{\sqrt{2}}, 1\right), \quad \cos ^{-1} x < \sin ^{-1} x\)

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.