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5.01 The unit circle

Interactive practice questions

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

Given that $x=180^\circ$x=180° represents half a circle, what fraction of the circumference of the unit circle does $x=225^\circ$x=225° represent?

Easy
< 1min

What fraction of the circumference of the unit circle does $s=450^\circ$s=450° represent?

Easy
< 1min

Consider the sine function.

Easy
< 1min
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Outcomes

ACMMM029

understand the unit circle definition of cos⁡θ, sin⁡θ and tan⁡θ and periodicity using degrees

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