SOLUTION: establish each identity: 1-(cos^2 A/1+sin A)=sin A

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Question 447915: establish each identity: 1-(cos^2 A/1+sin A)=sin A
Answer by htmentor(1343) About Me  (Show Source):
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1-(cos^2 A/1+sin A) = sin A
First multiply through by 1+sin A to eliminate the denominator:
(1+sin A) - cos^2 A = sin A + sin^2 A
1 + sin A = sin A + sin^2 A + cos^2 A
Since sin^2 A + cos^2 A = 1, we have
1 + sin A = sin A + 1
Or, sin A = sin A
So we have established the identity