If A = 45° ; then 2 sin A cos A is equal to : 1. 1 2. 0 3. -1 4. 2

2 sin A cos A = 2 sin 45°. cos 45° Hence, option 1 is the correct option.

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Mathematics

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2 sin A cos A = 2 sin 45°. cos 45°

$= 2 \times \dfrac{1}{\sqrt2} \times \dfrac{1}{\sqrt2}\\[1em] = 2 \times \dfrac{1}{2}\\[1em] = \cancel{2} \times \dfrac{1}{\cancel{2}}\\[1em] = 1$

Hence, option 1 is the correct option.

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