Trigonometry Identities - Pythagorean Ratio Cancellation (with Identity, Single Identity and Cot/Tan)
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Question

Simplify this expression using trig identities

$$	ext{Using:} \ 	an^2(\alpha) = \frac{\sin^2(\alpha)}{\cos^2(\alpha)} \ \cos^2(\alpha) + \sin^2(\alpha) = 1 \ \overline{\phantom{...}} \ \ 	ext{Simplify:} \ (	an^2(\alpha))(1-\sin^2(\alpha))$$

Accepted Answer

$$\sin^2(\alpha)$$

Answer

$$\csc^2(\alpha)$$

Answer

$$\sec^2(\alpha)$$