JEE Main 2021MathematicsTrigonometric EquationsMediumMCQ

JEE Main 2021 — Trigonometric Equations Question with Solution

JEE Main 2021 (17 Mar Shift 2)

Question

The number of solutions of the equation x+2tanx=π2 in the interval 0, 2π is

Choose an option

Show full solutionCorrect option: A
Correct answer
A3

Step-by-step explanation

We have x+2tanx=π2

⇒2tanx=π2-x

⇒tanx=-12x+π4

The graph of the two functions is given as

It is clear from the graph that the number of solutions of the given equation is 3.

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About this question

This is a previous-year question from JEE Main 2021, covering the Trigonometric Equations 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.