Topics
8. Circular Functions
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AustraliaVIC
VCE 11 Methods 2023

8.01 The unit circle

Lesson
Worksheet
Practice

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

U2.AoS1.1

the unit circle, radians, arc length and sine, cosine and tangent as functions of a real variable

U2.AoS1.12

the unit circle and exact values of sine, cosine and tangent for 0,pi/6, pi/4, pi/3, pi/2 (and their degree equivalents) and integer multiples of these

U2.AoS1.19

sketch by hand the unit circle, graphs of the sine, cosine and exponential functions, and simple transformations of these to the form Af(bx)+c , sketch by hand graphs of log_a(x) and the tangent function, and identify any vertical or horizontal asymptotes

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