(1)/(A-1)+(1)/(sec A+1)=2cosec A cot A

Prove the following identities : ((cosec A - cot A)^(2) + 1)/(sec A (cosec A - cot A)) = 2 cot A

simplify (1)/(cosec A-cot A)+(1)/(cosec A+cot A)=?

(1)/(cosec A-cot A)+(1)/(cosec A+cot A)=?

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

(1+tan A)/(sin A)+(1+cot A)/(cos A)=2(sec A+cosec A)

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

sec h^(2) [tan h^(-1) ((1)/(2))] + "cosec h"^(2) (cot h^(-1) (3)) =

Prove that (cosA-sinA+1)/(cosA+sinA-1) =cosec A+ cot A using the identity cosec^(2)A=1+cot^(2)A .

Prove that (cosA-sinA+1)/(cosA+sinA-1) =cosec A+ cot A using the identity cosec^(2)A=1+cot^(2)A .

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