" (iii) "a sec x+b tan x-c cosec x+d cot x-e

Find (dy)/(dx) : y = a sec x +b tan x - c cosec x + d cot x - e

int( sin ^2 x-cos ^2 x)/(sin ^2 x cos ^2 x) d x is equal to a) tan x+cot x+C b) tan x+cosec x+C c) -tan x+cot x+C d) tan x+sec x+C

If sin x + cos x + tan x + cot x + sec x + cosec x = 7, 0 lt x lt pi//2 and sin = 2x=a-b sqrt(7) then (a, b in Z^(+))

int( d x)/(sin ^(2) x cos ^(2) x) equals a) tan x+cot x+C b) tan x-cot x+C c) tan x cot x+C d) tan x-cot 2 x+C

Consider the following equations (i) cosec^2 x + sec^2 x = cosec^2 x sec^2 x (ii) sec^2 x + tan^2 x = secx tan^2 x (iii) cosec^2 x+ tan^2x = cot^2x + sec^2x Which of the above equations are correct ?

int cosec x (cot x-1) e^x dx

int _(0) ^(pi//2) sqrt((sec x - tan x )/(sec x + tan x )) (cosec x )/(sqrt(1 +2 cosec x ))dx

(d)/(dx)(log tan((pi)/(4)+(x)/(2)))= (a) cosec x (b) -cosec x (c) sec x (d) -sec x

Differentiate cosec x + cot x