2(*3cot^(-1)(1)/(2-sqrt(3))+cot^(-1)x=(pi)/(2)

3 cot ^(-1)""(1)/(2-sqrt(3))+cot ^(-1)""x=(pi)/(2)

Evaluate each of the following: cot^(-1)(1)/(sqrt(3))-csc^(-1)(-2)+sec^(-1)((2)/(sqrt(3)))cot^(-1){2cos(sin^(-1)(sqrt(3))/(2))}csc^(-1)(-(2)/(sqrt(3)))+2cot^(-1)(-1)tan^(-1)((1)/(sqrt(3)))+cot^(-1)((1)/(sqrt(3)))+tan^(-1)(sin(-(pi)/(2)))

cot^(-1)(2+sqrt(3))=

Evaluate each of the following: cot^(-1)(1/(sqrt(3)))-cos e c^(-1)(-2)+sec^(-1)(2/(sqrt(3))) cot^(-1){2"cos"(sin^(-1)((sqrt(3))/2))}+ cos e c^(-1)(-2/(sqrt(3)))+2cot^(-1)(-1) tan^(-1)(1/(sqrt(3)))+cot^(-1)(1/(sqrt(3)))+tan^(-1)(sin(-pi/2))

If tan^(-1)(sqrt(3))+cot^(-1)x=(pi)/(2), then find x

Find x if tan^(-1)(sqrt(3))+cot^(-1)x=pi/2

Evaluate each of the following: (cot^(-1)1)/(sqrt(3))-cos ec^(-1)(-2)+sec^(-1)((2)/(sqrt(3))) (ii) cot^(-1){2cos((sin^(-1)(sqrt(3)))/(2))}

Evaluate each of the following: (i) cot^(-1)(1/(sqrt(3)))-"cosec"^(-1)(-2)+sec^(-1)(2/(sqrt(3))) (ii) cot^(-1){2cos(sin^(-1)((sqrt(3))/2))}

prove: cot ^(-1)((1)/(2))-(1)/(2)cot^(-1)((4)/(3))=(pi)/(4)

cot ^(-1) ""(1)/(2) -(1)/(2) cot^(-1)"" (4)/(3) =(pi)/(4)