" 8."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+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

(cot^(2)A(sec A-1))/(1+sin A)=sec^(2)A((1-sin A)/(1+sec A))

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

The value of (cot^(2)alpha)((sec alpha-1)/(1+sin alpha))+sec^(2)alpha((sin alpha-1)/(1+sec alpha)) is

((sin 2A)/(sec A -1))((sec 2A)/(sec 2A+1))=

cot^(2) theta ((sec theta -1)/(1+ sin theta ))+ sec^(2) theta ((sin theta -1)/( 1+ sec theta )) =

Prove the following identity : cot^2 theta ((sec theta-1)/(1+sin theta))+ sec^2 theta ((sin theta-1)/(1+sec theta)) =0 .

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

The trigonometric expression: cot^(2)[(sec theta-1)/(1+sin theta)]+sec^(2)theta[(sin theta-1)/(1+sec theta)] has the value has the

((sin2A)/(secA-1))((sec2A)/(sec2A+1))=