JEE Main Maths · Inverse Trigonometric Functions

Graphical Root Counting for Mixed Equations

Graphical Root Counting for Mixed Equations (Inverse Trigonometric Functions) was asked once in the 42 JEE Main shifts Lumi analysed, in 2023. 1 of the 1 had a numerical answer.

Times asked: 1; in 1 shift
Years: 2023
Usual format: Numerical value; Multi-step
Pattern: Occasional; asked once so far

How it is asked

Count solutions of inverse trig equation

Difficulty

Easy 0Medium 0Hard 1

Where it sits

Chapter: Inverse Trigonometric Functions. Topic: Inverse Trig Identities, 20 questions over 18 ideas.

The question

Newest first, each with its options and official answer.

13 Apr 2023, Shift 2 · Q30For $x\in(-1,1]$ , the number of solutions of the equation $\sin^{-1}x=2\tan^{-1}x$ is equal to ______.HardNumerical value