Question

If A = 45°; then 2 sin A cos A is equal to ______.

Options

• 1

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• −1

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Answer 1

If A = 45°; then 2 sin A cos A is equal to 1.

Explanation:

Substituting A = 45°:

\[2 \sin 45^\circ \cos 45^\circ = 2 \left(\frac{1}{\sqrt{2}}\right)\left(\frac{1}{\sqrt{2}}\right) = 2 \left(\frac{1}{2}\right) = 1\]