`tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3))`is equal to (A) `pi` (B) `-pi/2` (C) 0 (D) `2sqrt(3)`

`tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3))`is equal to (A) `pi` (B) `-pi/2` (

1.	`tan^(-1)sqrt(3)-cot^(-1)(-sqrt(3))`is equal to (A) `pi` (B) `-pi/2` (C) 0 (D) `2sqrt(3)`
Answer» We know, `tan (pi/3) = sqrt(3)` and `cot(5pi/6) = -sqrt(3)` So, putting these values in the given expression `tan^-1(tan(pi/3)) cot^-1(cot((5pi)/6))` `pi/3-(5pi)/6 = -pi/2`

`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)`
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