jee-main 2013 Q67

jee-main · India · 09apr Reciprocal Trig & Identities
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) $\frac { 1 } { 2 }$
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) $\frac { 1 } { 2 }$