JEE Main 2020MathematicsBasic of MathematicsMediumNumerical

JEE Main 2020 — Basic of Mathematics Question with Solution

JEE Main 2020 (09 Jan Shift 1)

Question

The number of distinct solutions of the equation, log12⁡sin⁡x=2-log12⁡cos⁡x in the interval 0,2π, is ________

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Show full solutionCorrect answer: 8
Correct answer
8

Step-by-step explanation

log1/2⁡sin⁡x=2-log1/2⁡cos⁡x
log1/2sin⁡xcos⁡x=2
sin⁡xcos⁡x=14
sin⁡2x=±12

Number of solution =8 .

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About this question

This is a previous-year question from JEE Main 2020, covering the Basic of Mathematics 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.