" 19."2tan x-cot x+1=0

underset(x to 0)"Lt" (1+tan x)^(cot x)=

If sin^(2) x tan x + cos ^(2) x cot x - sin 2 x = 1 + tan x + cot x x in (0, pi) then x =

The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positive values for x, given by

Solve : 2+tan x. cot\ (x)/(2)+cot x. tan\ (x)/(2)=0 .

Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x (x != 0)

int_(0)^((pi)/(2))(a tan x+b cot x)/(tan x+cot x)dx=

Solution of the differential equation dy/dx+(1+cos 2y)/(1-cos 2x)=0 is a) tan y+cot x=c b) tan y-cot x=c c) tan y.cot x=c d) cot y.tan x=c

If the equation tan (P cot x) = cot (P tan x) has a solution in x in (0, pi) - {(pi)/( 2)} , then

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x

Prove that : 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x