JEE Main 2017MathematicsInverse Trigonometric FunctionsEasyMCQ

JEE Main 2017 — Inverse Trigonometric Functions Question with Solution

JEE Main 2017 (09 Apr Online)

Question

A value of x satisfying the equation sin⁡cot-1⁡1+x=cos⁡tan-1⁡x, is:

Choose an option

Show full solutionCorrect option: A
Correct answer
A-12

Step-by-step explanation

sincot-1(1+x)=costan-1x

Let, cotλ=1+x

tanβ=x

⇒  sinλ=cosβ

⇒  1x2+2x+2=111+x2

⇒  x2+2x+2=x2+1

⇒  x=-1/2

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About this question

This is a previous-year question from JEE Main 2017, 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.