If x in (pi/2,pi), then (sec x-1)/(se...

If `x in (pi/2,pi)`, then `(sec x-1)/(sec x +1)` is equal to

A

`(cosec x+cot x)^(2)`

B

`(sin x- cos x)^(2)`

C

`(cosec x - cot x)^(2)`

D

`(sec x + tan x)^(2)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2) sec x log (sec x+tan x) dx is equal to

lim_(x rarr(pi)/(2))[x tan x-((pi)/(2))sec x] is equal to

int_(0)^(pi/4) (sec x)/(1+2 sin^(2)x) is equal to

If f(x) = sqrt ((sec x -1)/(sec x + 1)) , find f'( pi /3)

lim _ ( x to pi//2 ) ( sec x - tan x ) is equal to

The value of int(sec x (2 + sec x))/((1+2 sec x)^(2))dx , is equal to

The value of lim_(x to (pi)/4) (sin 2x )^(sec^2x) is equal to

lim_(x rarr pi/2)((cos x)^(cos x)+(sec x)^(cos x)) is equal to

int_(pi//4)^(pi//3)(sec x)/(sin x)dx =