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Exercise

$sin\left(cos^{-1}\left(\frac{x}{2}\right)-tan^{-1}\left(\frac{3}{y}\right)\right)$
1

Start by simplifying the left side of the identity: $\cos\left(\frac{x}{2}\right)^{-1}-\tan\left(\frac{3}{y}\right)^{-1}$

$\sin\left(\frac{1}{\cos\left(\frac{x}{2}\right)}+\frac{-1}{\tan\left(\frac{3}{y}\right)}\right)$

Final answer to the exercise

$\sin\left(\frac{1}{\cos\left(\frac{x}{2}\right)}+\frac{-1}{\tan\left(\frac{3}{y}\right)}\right)$

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