# A value of x for which sin (cot–1(1 + x)) = cos (tan–1 x), is :

Question:

A value of $x$ for which $\sin \left(\cot ^{-1}(1+x)\right)=\cos \left(\tan ^{-1} x\right)$, is

1. $-\frac{1}{2}$

2. 1

3. 0

4. $\frac{1}{2}$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Inverse Trigonometric Functions chapter.
JEE Main Previous Year Online April 9, 2013

Solution:

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