# Question #6df80

Jan 16, 2017

$\sin 2 \theta$=$\frac{\sqrt{3}}{2}$
$\cos 2 \theta = \frac{1}{2}$
$\sin \theta = \frac{1}{2}$
Draw an equilateral triangle and cut it in half to give a right angle triangle with sides in the ratio 1:2:$\sqrt{3}$ ( the hypotenuse is 2 and Pythagoras gives the third side as$\sqrt{3}$
From this you can see that the angle whose sign is $\frac{1}{2}$ is $30 \mathrm{de} g r e e s$ if $\theta = 30$ then $2 \theta = 60 \mathrm{de} g r e e s$