Question

Complete solution set of tan²(sin^–1x) > 1 is-

• A. $\left( - 1 , - \frac { 1 } { \sqrt { 2 } } \right)$Č $\left( \frac { 1 } { \sqrt { 2 } } , 1 \right)$
• B. $\left( - \frac { 1 } { \sqrt { 2 } } , \frac { 1 } { \sqrt { 2 } } \right)$~ {0}
• C. (–1, 1) ~ {0}
• D. None of these

Answer 1

Answer: (A)

$\left( - 1 , - \frac { 1 } { \sqrt { 2 } } \right)$Č $\left( \frac { 1 } { \sqrt { 2 } } , 1 \right)$

Answer 2

tan²(sin^–1 x) > 1

Ž $\frac { \pi } { 4 }$

x Ī $\left( - 1 , - \frac { 1 } { \sqrt { 2 } } \right)$

Ž x Ī $\left( \frac { 1 } { \sqrt { 2 } } , 1 \right)$

Hence (1) is the correct answer.