Question
$$\text { If } \tan \theta=\frac{p}{q}, \text { show that } \frac{p \sin \theta-q \cos \theta}{p \sin \theta+q \cos \theta}=\frac{p^{2}-q^{2}}{p^{2}+q^{2}} \text { . }$$
Step 1
Step 1: Given that $\tan \theta=\frac{p}{q}$, we need to prove that $\frac{p \sin \theta-q \cos \theta}{p \sin \theta+q \cos \theta}=\frac{p^{2}-q^{2}}{p^{2}+q^{2}}$. Show more…
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