JEE Main 2015MathematicsInverse Trigonometric FunctionsMediumMCQ

JEE Main 2015 — Inverse Trigonometric Functions Question with Solution

JEE Main 2015 (10 Apr Online)

Question

If fx=2tan-1x+sin-12x1+x2, x>1, then f5 is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
Cπ

Step-by-step explanation

Substitute tan-1x=θ, θ∈π4,π2

Hence fx=2θ+sin-1sin2θ

=2θ+π-2θ, as  θ>π4

=π

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About this question

This is a previous-year question from JEE Main 2015, 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.