Product of sine and cosine in terms of a parameter

Product of sine and cosine in terms of a parameter

IB Year 6 | Grade 12

Given that \(\tan\theta=2p\), where \(180{}^\circ<\theta<270{}^\circ\), find \(\sin\theta\cos\theta\) in terms of \(p\).

Solution:

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Answer:\(\sin\theta\cos\theta=\frac{2p}{4p^2+1}\)

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