JEE Main 2021MathematicsInverse Trigonometric FunctionsPrincipal Value Of Inverse Trigonometric FunctionshardMCQ

JEE Main 2021 — Inverse Trigonometric Functions Question with Solution

From: JEE Main 2021 (Online) 16th March Evening Shift

Question

Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy

is equal to :

Choose an option

Show full solutionCorrect option: C
Correct answer
C3

Step-by-step explanation







or



Squaring we get









Put x = 0, 1, 1 in the original equation

We see that all values satisfy the original equation.

Number of solution = 3

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About this question

This is a previous-year question from JEE Main 2021, covering the Inverse Trigonometric Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.