JEE Main 2021MathematicsInverse Trigonometric FunctionsEasyMCQ

JEE Main 2021 — Inverse Trigonometric Functions Question with Solution

JEE Main 2021 (24 Feb Shift 2)

Question

A possible value of tan14sin-1638 is:

Choose an option

Show full solutionCorrect option: D
Correct answer
D17

Step-by-step explanation

Let 14sin-1638=θ

sin4θ=638

cos4θ=18

2cos22θ-1=18

cos22θ=916

cos2θ=34

2cos2θ-1=34

cos2θ=78

cosθ=722

tanθ=17

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About this question

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