The set of values of x, satisfying the equation `tan^2(sin^-1x) > 1` is -A. `[-1,1]`B. `[-(1)/sqrt(2),(1)/sqrt(2)]`C. `(-1,1)-[-(1)/sqrt(2),(1)/sqrt(2)]`D. `[-1,1]-(1)/sqrt(2),(1)/sqrt(2)`

The set of values of x, satisfying the equation `tan^2(sin^-1x) > 1` i

1.	The set of values of x, satisfying the equation `tan^2(sin^-1x) > 1` is -A. `[-1,1]`B. `[-(1)/sqrt(2),(1)/sqrt(2)]`C. `(-1,1)-[-(1)/sqrt(2),(1)/sqrt(2)]`D. `[-1,1]-(1)/sqrt(2),(1)/sqrt(2)`
Answer» We have `tan^(2)(som^(-1)x)gt1` `rarr tan^(2)(sin^(-1)x)-1)gt0` `rarr tan (sin^(-1)x)lt-1 or tan (sin^(-1)x)gt1` `rarr -infty lt tan(sin^(-1)x)lt-1 or 1 lt tan (sin^(-1)x)lt infty` `rarr -(pi)/(2)ltsin^(-1)xlt(pi)/(2)` `rarr x in(-1,-(1)/sqrt(2) or x in (1)sqrt(2),1)` `rarr x in (-1,-1)-[-(1)/sqrt(2)),(1)/sqrt(2)]`

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