jee-main 2013 Q69

jee-main · India · 25apr Reciprocal Trig & Identities
Let $x \in ( 0,1 )$. The set of all $x$ such that $\sin ^ { -1 } x > \cos ^ { -1 } x$, is the interval:
(1) $\left( \frac { 1 } { 2 } , \frac { 1 } { \sqrt { 2 } } \right)$
(2) $\left( \frac { 1 } { \sqrt { 2 } } , 1 \right)$
(3) $( 0,1 )$
(4) $\left( 0 , \frac { \sqrt { 3 } } { 2 } \right)$
Let $x \in ( 0,1 )$. The set of all $x$ such that $\sin ^ { -1 } x > \cos ^ { -1 } x$, is the interval:\\
(1) $\left( \frac { 1 } { 2 } , \frac { 1 } { \sqrt { 2 } } \right)$\\
(2) $\left( \frac { 1 } { \sqrt { 2 } } , 1 \right)$\\
(3) $( 0,1 )$\\
(4) $\left( 0 , \frac { \sqrt { 3 } } { 2 } \right)$