Prove that `(cosec A - sin A ) (sec A -cos A) = ( 1)/( tan A +cot A) `

Prove the following trigonometric identities: (cosec A - sin A)(sec A - cos A)(tan A + cot A) = 1

The value of (cosec x-sin x) (sec x-cos x) (tan x+cot x) is

Prove that (sin A)/(1 + cos A) + (sin A)/(1 - cos A) = 2 cosec A.

Prove that (sin A)/(sec A + tan A -1)+ (cos A)/("cosec "A +cot A-1)=1

Prove that (1+tan A+sec A)(1+cot A-" cosec A")=2

Prove that sec x-cos x=tan x sin x

Prove that ( 1+ sec A)/( sec A) =(sin ^(2) A)/( 1-cos A)

Prove that (sin^2 A )/(cosA) + cos A = sec A.