" Prove the following identity: "(sin A+coc A)^(2)+(cos A+cosec A)^(2)=(1+sec A" cosec "A)^(2)

Prove the following identities: (sin A+sec A)^(2)+(cos A+csc A)^(2)=(1+sec A csc A)^(2)cot^(2)A((sec A-1)/(1+sin A))+sec^(2)A((sin A-1)/(1+sec A))=0

Prove the following identities : (sin A)/(1 - cos A) - cot A = cosec A

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

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

Prove the following identities : cosec A (1 + cos A) (cosec A - cot A) = 1

Prove the following identities : sqrt ((1 - cos A) /(1 + cos A)) = cosec A - cot A

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

Prove that : (sin A + cos A) (sec A + cosec A) = 2 + sec A cosec A

Prove the following identities : (1 - cos A)/(sin A) + (sin A)/ (1 - cos A) = 2 cosec A

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