" Prove that "(sin A+cosec A)^(2)+(cos A+sec A)^(2)=7+tan^(2)A+cot^(2)A

Prove : (sin A + cosec A)^2 + (cosA + secA )^2=7 + (tan^2 A+ cot^2 A)

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

Prove that : (cosec A - sin A) (sec A - cos A) sec^(2) A = tan A

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

Prove that (sin theta + "cosec" theta)^(2)+(cos theta + sec theta)^(2)=(7+ tan^(2) theta + cot^(2) theta).

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

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

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