Find `tan^-1(1)` =? a) `pi` b) `pi/2` c) `pi/4` d) `pi/6`

In a triangle A B C , , if C is a right angle, then tan^(-1)(a/(b+c))+tan^(-1)(b/(c+a))= (a) pi/3 (b) pi/4 (c) (5pi)/2 (d) pi/6

If x<0,\ y<0 such that x y=1 , then tan^(-1)x+tan^(-1)y equals pi/2 (b) -pi/2 (c) pi (d) none of these

If (1+tanalpha)(1+tan4alpha)=2,alpha in (0,pi/(16)), then alpha is equal to (a) pi/(20) (b) pi/(30) (c) pi/(40) (d) pi/(60)

The value of cos^(-1)(-1)-sin^(-1)(1) is: a. pi b. pi/2 c. (3pi)/2 d. -(3pi)/2

The sum of all the solution in [0,4pi] of the equation tanx+cotx+1=cos(x+pi/4)i s (a) 3pi (b) pi/2 (c) (7pi)/2 (d) 4pi

Mark the correct alternative in each of the following: int_0^1sqrt(x(1-x))dx equals pi//2 (b) pi//4 (c) pi//6 (d) pi//8

Find the general value of theta which satisfy both sintheta=-1/2a n dtantheta=1//sqrt(3) simultaneously. a) 11 pi /6 b) 7 pi /6 c) pi /6 d)11 pi /6 , 7 pi /6

sin^-1 (-1/2)+tan^-1 (sqrt(3))= (A) -pi/6 (B) pi/3 (C) pi/6 (D) none of these

("lim")_(xvecoo)"{"x+5")"tan^(-1)(x+5)-(x+1)tan^(-1)(x+1)} is equal to pi (b) 2pi (c) pi/2 (d) none of these

sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(12)/4)+sec^(-1)(sqrt(2))= (a) 0 (b) pi/4 (c) pi/6 (d) pi/2