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" 12."(cot^(2)A(sec A-1))/((1+sin A))-(s...

" 12."(cot^(2)A(sec A-1))/((1+sin A))-(sec^(2)A(1-sin A))/((1+sec A))" is equal to "

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cot^(2)A((sec A-1)/(1+sin A))+sec^(2)A((sin A-1)/(1+sec A))=0

Prove the following identities : 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

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

((sin2A)/(sec A-1))((sec2A)/(sec2A+1))=

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

(sec A+ tan A) (1 - sin A) equals to

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

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