JEE Main 2022MathematicsTrigonometric EquationsMediumNumerical

JEE Main 2022 — Trigonometric Equations Question with Solution

JEE Main 2022 (29 Jun Shift 2)

Question

The number of solutions of the equation sin x=cos2 x in the interval 0, 10 is ______.

Enter your answer

Show full solutionCorrect answer: 4
Correct answer
4

Step-by-step explanation

Given, sinx=cos2x

⇒sinx=1-sin2x

⇒  sin2x+sinx-1=0

⇒ sinx=-1±52

⇒  sinx=5-12

Now plotting the graph we get,

⇒ Now by graph number of solutions in 0,10=4

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Trigonometric Equations 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 2022, 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.