JEE Main 2023MathematicsInverse Trigonometric FunctionsHardMCQ

JEE Main 2023 — Inverse Trigonometric Functions Question with Solution

JEE Main 2023 (01 Feb Shift 1)

Question

Let S be the set of all solutions of the equation cos-12x-2cos-11-x2=π,x∈-12,12. Then ∑x∈S2sin-1x2-1 is equal to

Choose an option

Show full solutionCorrect option: A
Correct answer
A0

Step-by-step explanation

Given equation is:

cos-12x-2cos-11-x2=π,x∈-12,12

It is possible if

cos-12x=π    ....(1)

and  2cos-11-x2=0    ....(2)

From equation (1), x=-12 which is not satisfying equation (2).

So, no such x exists.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Inverse Trigonometric Functions chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2023, 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.