JEE Main 2017MathematicsInverse Trigonometric FunctionsProperties Of Inverse Trigonometric FunctionsmediumMCQ

JEE Main 2017Inverse Trigonometric Functions Question with Solution

From: JEE Main 2017 (Online) 9th April Morning Slot

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

Step-by-step explanation

Let,

JEE Main 2017 (Online) 9th April Morning Slot Mathematics - Inverse Trigonometric Functions Question 79 English Explanation 1

Now, let

JEE Main 2017 (Online) 9th April Morning Slot Mathematics - Inverse Trigonometric Functions Question 79 English Explanation 2

Given,

From ABC,

From MNO,

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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.