Consider the graph of the unit circle shown below.
State the value of $\cos60^\circ$cos60°.
Consider the graph of the unit circle shown below.
The diagram shows a unit circle with point $P\left(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right)$P(1√2,1√2) marked on the circle. Point $P$P represents a rotation of $45^\circ$45° anticlockwise around the origin from the positive $x$x-axis.
Given that $x=180^\circ$x=180° represents half a circle, what fraction of the circumference of the unit circle does $x=60^\circ$x=60° represent?