If $\mathrm{A}={60}^{\mathrm{o}}, \mathrm{then} \mathrm{the} \mathrm{value} \mathrm{of} \sin \left(2\mathrm{A}\right) \mathrm{is} \mathrm{equal} \mathrm{to}$

Since sin $\left(2\mathrm{A}\right)=2 \sin \mathrm{A} \cos \mathrm{A}$ 

So for $\mathrm{A}={60}^0,$ we have

sin $\left(2\mathrm{A}\right)=2$ sin A cos A = 2 sin (60^o)cos (60⁰)

$\Rightarrow$sin$\left(2\mathrm{A}\right)=2\left(\frac{\sqrt{3}}{2}\right)\left(\frac{1}{2}\right)=\frac{\sqrt{3}}{2}$