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" 9.(i) Prove that : "(cot^(2)A)/((1-cos...

" 9.(i) Prove that : "(cot^(2)A)/((1-cosec A)^(2))=(1+sin A)/(1-sin A)

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

Prove that : (cot^(2) A)/(cosec A - 1) - 1 = cosec A

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

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

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

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Prove that : (sin A)/ (1 + cos A) + (1 + cos A)/ (sin A) = 2 cosec A

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

Prove that (1 + 1/(tan^2A)) (1 + 1/(cot^2A)) = 1/(sin^2 A - sin^4 A )