Question 451912
Cos[θ]^2/(1 - Sin[θ]) = 1 + Sin[θ] 
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[1-sin^2(theta)]/[1-sin(theta)] = 1 + sin(theta)
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Factor:
[(1-sin(theta)(1+sin(theta)]/[1-sin(theta)] = 1+sin(theta)
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Cancel the common [1-sin(theta)] factors to get:
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[1+sin(theta)] = 1+sin(theta)
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Cheers,
Stan H.
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