`(sec2x-tan2x)` equals a) `tan(x-pi/4)` b)`tan(pi/4-x)` c)`cot(x-pi/4)` d)`tan^2(x+pi/4)`

if lim_(xto(pi)/(4))((tan((pi)/(4)-x))/((pi)/(4)-x))=

Prove that tan(pi/16)+2tan(pi/8)+4=cot (pi/16) .

d/(dx)sqrt((1-sin2x)/(1+sin2x))i se q u a lto,(0

Prove that (1-tan^2(pi/4-A))/(1+tan^2(pi/4-A))=sin2Adot

If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1)a n d(dy)/(dx)=a x+b , then the value of a+b is (a) cot(pi/8) (b) cot(pi/12) (c) tan((5pi)/12) (d) tan((5pi)/8)

Solve the equation tan^(-1)2x+tan^(-1)3x=pi/4

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

int_(0)^(pi/2)(cot^(2)xdx)/(tan^(2)x+cot^(2)x)