Discussion
If \(\tan \theta = 1\), what is the value of \(\sin \theta \cos \theta\)?
Answer: A
If \(\tan \theta = 1\), then \(\theta = 45°\).
We need to find the value of \(\sin 45° \cos 45°\).
\(\sin 45° = \frac{1}{\sqrt{2}}\) and \(\cos 45° = \frac{1}{\sqrt{2}}\).
So, \(\sin \theta \cos \theta = \frac{1}{\sqrt{2}} \times \frac{1}{\sqrt{2}} = \frac{1}{2}\).
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