Given:
Given the expression
[tex]\frac{1}{2}\sin2\theta[/tex]
Required: An equivalent expression
Explanation:
Use the formula
[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]
Dividing by 2 on both sides gives
[tex]\begin{gathered} \frac{1}{2}\sin2\theta=\frac{1}{2}(2\sin\theta\cos\theta) \\ =\sin\theta\cos\theta \end{gathered}[/tex]
Option D is correct.
Final Answer: An equivalent expression of
[tex]\frac{1}{2}\sin2\theta[/tex]
is
[tex]\cos\theta\sin\theta[/tex]
