(cos ecA)/(cosec A-1)+(cosec A)/(cosec A+1)=2sec^(2)A

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

Prove that : (sin A - cos A) (1 + tan A + cot A) = (sec A)/ (cosec^(2) A) - (cosec A)/ (sec^(2) A)

Prove the following identity : (1+ cot A+tan A) (sin A-cos A) =(secA)/(cosec^2 A)- (cosec A)/(sec^2A) .

(cosec theta)/(cosec theta-1)+(cosec theta)/(cosec theta+1)=2sec^2theta

sec (cosec^(-1) x)=

Prove that : (cosec theta)/(cosec theta-1)+ (cosec theta)/ (cosec theta+1)= 2 sec^2 theta .

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)

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

Prove that (tan A)/(sec A-1)+(tan A)/(sec A+1)=2 cosec A .

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