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simplify using common denominator: a) sec^2 theta + cosec^2theta
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\[\sec ^2\theta +\csc ^2\theta =\frac{1}{\cos ^2 \theta}+\frac{1}{\sin ^2\theta}=\frac{\sin ^2\theta +\cos ^2\theta}{\sin^2 \theta \cos^2 \theta}\]=
\[\frac{1}{\sin ^2\theta \cos ^2\theta}\]
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