Exam-Style Problem
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Problem 20
20
☆
Prove the identity
\(\displaystyle \frac{\sin x}{1-\cos^2x}\equiv \csc x.\)
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Solution
\[ \frac{\sin x}{1-\cos^2x}=\frac{\sin x}{\sin^2x}=\frac{1}{\sin x}=\csc x. \]
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