(v) `tan^-1[(1-tan(x/2))/(1+tan(x/2))]`

sec^-1((1+tan ^2x)/(1-tan ^2 x))

int (1-tan^2x)/(1+tan^2x) dx

Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

Find the value of tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

If (tan^(-1)x)^(3)+(tan^(-1)y)^(3)=1-3tan^(-1)x.tan^(-1)y . Then which of the following may be true (a) (x+y)/(tan1)=-2 (b) (tan^(-1)x)/(1-tan^(-1)y)=2 (c) (tan^(-1)x)/(1-tan^(-1)y)=2 (d) (x+y)/(cot1)=1

Evaluate: ("lim")_(n→oo)x[tan^(-1)((x+1)/(x+2))-tan^(-1)(x/(x+2))]

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.

Find the sum of each of the following series :(i) tan^-1(1/(x^2+x+1))+tan^-1 (1/(x^2+3x+3))+tan^-1(1/(x^2+5X+7))+tan^-1(1/x^2+7x+13)) ......upto n.