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Mathematics

If A = 30°, then the value of 2 sin A cos A is

  1. 12\dfrac{1}{\sqrt{2}}

  2. 32\dfrac{\sqrt{3}}{2}

  3. 12\dfrac{1}{2}

  4. 1

Trigonometrical Ratios

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Answer

Solving,

2 sin A cos A=2 sin 30° cos 30°=2×12×32=32.\Rightarrow \text{2 sin A cos A} = \text{2 sin 30° cos 30°} \\[1em] = 2 \times \dfrac{1}{2} \times \dfrac{\sqrt{3}}{2} \\[1em] = \dfrac{\sqrt{3}}{{2}}.

Hence, Option 2 is the correct option.

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