`tan^(- 1)(a/x)+tan^(- 1)(b/x)=pi/2` then `x=`A. `sqrt(ab)`B. `sqrt(2ab)`C. 2abD. ab

`tan^(- 1)(a/x)+tan^(- 1)(b/x)=pi/2` then `x=`A. `sqrt(ab)`B. `sqrt(2a

1.	`tan^(- 1)(a/x)+tan^(- 1)(b/x)=pi/2` then `x=`A. `sqrt(ab)`B. `sqrt(2ab)`C. 2abD. ab
Answer» We have `tan^(-1_(a)/(x)+tan^(-1)(b)/(x))=(pi)/(2)` `rarrtan^(-1)((a)/(x)+(b)/(x)-(ab)/(x^(2)))=(pi)/(2)rarr1-(ab)/(x^(2))=0rarrx=sqrt(ab)`

`tan^(-1)[(cosx)/(1+sinx)]`is equal to`pi/4-x/2,forx in (-pi/2,(3pi)/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-pi/2,pi/2)``pi/4-x/2,forx in (-(3pi)/2,pi/2)`
The value of `sin^(-1)(sin12)+sin^(-1)(cos12)=`
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Find the principal value of `sin^(-1)(-1/sqrt2)+tan^(-1)(-1/sqrt3)+sec^(-1)(2)`