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

The value of [(cos^(2)A(sin A+cos A))/(cos ec^(2)A(sin A-cos A)),+(sin^(2)A(sin A-cos A))/(sec^(2)A(sin A+cos A))] (sec^(2)A-cosec^(2)A)

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

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

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

Prove that : sin A (1 + tan A) + cos A (1 + cot A) = sec A + cosec A.

" (1) sec^(2)A+cosec^(2)A=sec^(2)A*cosec^(2)A

Sec^2θ + cosec^2θ = sec^2θ * cosec^2θ

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