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Trigonometric Ratios of Common Angles

If sin 2A =...

Question

If $sin 2 A = \frac{1}{2}$ , then the value of $\frac{1}{2 sin A cos A}$ is:

A

1

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B

\frac{3}{2}

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C

2

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D

3

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E

4

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Solution

The correct option is C $2$
Given, $sin 2 A = \frac{1}{2}$
$∴ \frac{1}{2 sin A cos A} = \frac{1}{sin 2 A} = \frac{1}{\frac{1}{2}} = 2$

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