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iGCSE (2021 Edition)

27.01 Unit circle (Extended)

Interactive practice questions

Consider the graph of the unit circle shown below.

State the value of $\cos60^\circ$cos60°.

Easy
< 1min

Consider the graph of the unit circle shown below.

Easy
< 1min

The diagram shows a unit circle with point $P\left(\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}\right)$P(12,12) marked on the circle. Point $P$P represents a rotation of $45^\circ$45° anticlockwise around the origin from the positive $x$x-axis.

Easy
8min

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?

Easy
< 1min
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Outcomes

0580E6.3A

Recognise, sketch and interpret graphs of simple trigonometric functions. Graph and know the properties of trigonometric functions.

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