JEE Main 2022MathematicsTrigonometric Ratios & IdentitiesMediumMCQ

JEE Main 2022 — Trigonometric Ratios & Identities Question with Solution

JEE Main 2022 (27 Jun Shift 2)

Question

α=sin36° is a root of which of the following equation

Choose an option

Show full solutionCorrect option: A
Correct answer
A16x4-20x2+5=0

Step-by-step explanation

We know sin36°=10-254

Let x=10-254

On squaring both sides, we get

4x2=10-25⇒16x2=10-25 

Again squaring, we get 

52=5-8x22 ⇒5=25+64x4-80x2

⇒16x4-20x2+5=0

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About this question

This is a previous-year question from JEE Main 2022, covering the Trigonometric Ratios & Identities 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.