`cosec x(sec x-1)-cot x(1-cos x)=tan x-sin x`

csc x=1+cot x

(cosec x-sin x)(sec x-cos x)(tan x+cot x)=1

(cosec x-sin x)(sec x-cos x)(tan x+cot x)

What is (cosec x - sin x ) (sec x- cos x) (tan x + cot x) equal to ?

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 ?

Find the derivative of the following functions: (i) sin x cos x (ii) sec x (iii) 5sec x+4 cos x (iv) cosec x (v) 3 cot x+5 cosec x (vi) 5sinx-6cosx+7 (vii) 2tanx-7secx

sin^-1(cos x)+tan ^-1(cot x)

Which of the following pair(s) of function have same graphs? f(x)=(sec x)/(cos x)-(tan x)/(cot x),g(x)=(cos x)/(sec x)+(sin x)/(csc x)

(tan x)/(1-cot x)-(cot x)/(1-tan x)=(sec x cos(x+1))