" 31."tan^(2)(2x-3)

(d) / (dx) [((tan ^ (2) 2x-tan ^ (2) x) / (1-tan ^ (2) 2x tan ^ (2) x)) cot3x] =

Solve: tan^(2)x.tan^(2)3x.tan4x=tan^(2)x-tan^(2)3x+tan4x

Prove that 2"tan"^(-1)(1)/(2) +"tan"^(-1)(1)/(7) ="tan"^(-1)(31)/(17) .

lim_(x rarr tan^(-1)) (tan^(2)x - 2tanx -3)/(tan^(2)x - 4tan x +3 ) =

Solve 3tan2x-4tan3x=tan^(2)3x tan2x

Let |{:(tan^(-1)x, tan^(-1)2x, tan^(-1)3x), (tan^(-1)3x, tan^(-1)x, tan^(-1)2x), (tan^(-1)2x, tan^(-1)3x, tan^(-1)x):}|=0 , then the number of values of x satisfying the equation is

The set of values of x for which ("tan" 3x- "tan" 2x)/(1+"tan" 3 x "tan" 2x) = 1 , is

Solve : tan^(2)x*tan^(2)3x*tan4x=tan^(2)x-tan^(2)3x+tan4x

tan x+tan(x+(pi)/(3))+tan(x+2(pi)/(3))=3 prove that (3tan x-tan^(3)x)/(1-3tan^(2)x)=1