What is the value of $\sin 2 A$ , If A is $30 °$ ?

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Solution

Value of $\sin 2 A$ , If $A$ is $30$ degrees.
Find the value of $\sin 2 A$ :
$\begin{array}{rcl} s in 2 A & = & s in (2 \times 30 °) [∵ A = 30 °] \\ = & s in 60 ° \\ = & \frac{\sqrt{3}}{2} \end{array}$ .
Hence, the required value is $\sin 2 A = \frac{\sqrt{3}}{2}$ .

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