" 11."1-(sin^(2)x)/(1+cot x)+(cos^(2)x)/(1+tan x)=sin x cos x

If y= (sin^(2)x)/(1+cot x)+ (cos^(2)x)/(1+tan x) , then y'(x) is equal to

If f(x ) = (sin^(2)x)/(1+cot x) + (cos^(2))/(1+tan x) then f((pi)/(4)) is

(sin 2x)/(1- cos 2x ) = cot x

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

sin {cot^(-1)[tan (cos^(-1)x)]=

Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2) . Then, which of the following is (are) correct ?

Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2) . Then, which of the following is (are) correct ?

Let P(x)=cot^(2)x ((1+tanx+tan^(2)x)/(1+cot x+ cot^(2)x))+((cos x-cos 3x+sin3x-sin x)/(2(sin 2x+cos2x)))^(2) . Then, which of the following is (are) correct ?

(1+sin x+cos x+sin2x+cos2x)/(tan2x)=0