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Art [367]
2 years ago
10

Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula.

F2%29%2Acos%28x%2F2%29" id="TexFormula1" title="2*sin(x/2)*cos(x/2)" alt="2*sin(x/2)*cos(x/2)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Tatiana [17]2 years ago
5 0

Answer:

2\sin{\frac{x}{2}}\cos{\frac{x}{2}} = \sin{x}

Step-by-step explanation:

The double angle formula states that:

\sin{2a} = 2\sin{a}\cos{a}

In this question:

2\sin{\frac{x}{2}}\cos{\frac{x}{2}}

So

a = \frac{x}{2}

Then

2\sin{\frac{x}{2}}\cos{\frac{x}{2}} = \sin{\frac{2x}{2}} = \sin{x}

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