Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q77
A value of x for which sin ( cot^-1(1+x))= cos ( tan^-1 x), is:
A value of $\displaystyle x$ for which
$$\sin \left(\cot ^{-1}(1+x)\right)=\cos \left(\tan ^{-1} x\right) \text {, is : }
$$
Official answer
(1)
$\displaystyle -\frac{1}{2}$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.