JEE Main 2015MathematicsInverse Trigonometric FunctionsMediumMCQ

JEE Main 2015 — Inverse Trigonometric Functions Question with Solution

JEE Main 2015 (04 Apr)

Question

Let tan-1 y=tan-1 x+tan-12x1-x2, where x<13,Then a value of y is

Choose an option

Show full solutionCorrect option: B
Correct answer
B3x-x31-3x2

Step-by-step explanation

Given tan-1 y=tan-1 x+tan-12x1-x2, x<13

=tan-1 x+2tan-1 x

=3tan-1 x

⇒tan-1 y=tan-13x-x31-3x2

∴ y=3x-x31-3x2

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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.