[" 1."cot^(2)x" ,"],[" 3."sin^(2)(2x+5)," (उ.प्र."2005" (FG) "]" (9) "2" ."(tan x]

cot x cos^(2)x-tan x sin^(2)x=2cot2x

(cos2x-1)cot^(2)x=-3sin x

Prove that, cot x cos^(2)x -tan x sin^(2)x = 2 cot 2x

tan^(-1)(cot x)-tan^(-1)(cot2x)=

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

Let P(x) = ((1- cos 2 x + sin 2x)/(1+ cos2x + sin2x))^(2) + ((1+ cot x + cot^(2) x)/( 1+ tan x+ tan^(2) x) ) , then the minimum value of P(x) equals

Evaluate cot (tan^(-1) (2x) + cot^(-1) (2x))

Solve cot^(-1) ((3x^(2) + 1)/(x)) = cot^(-1) ((1 - 3x^(2))/(x)) - tan^(-1) 6x