Topics
8. Circular Functions
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AustraliaVIC
VCE 11 Methods 2023

8.07 Sine and cosine graphs

Lesson
Worksheet
Practice

Interactive practice questions

Which of the following is the graph of $y=3\cos x$y=3cosx?

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A

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B

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C

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D
Easy
< 1min

Which of the following is the graph of $y=\sin2x$y=sin2x?

Easy
< 1min

Which of the following is the graph of $y=-\cos3x$y=−cos3x?

Easy
< 1min

Which of the following is the graph of $y=\sin x+4$y=sinx+4?

Easy
< 1min
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Outcomes

U1.AoS1.2

qualitative interpretation of features of graphs of functions, including those of real data not explicitly represented by a rule, with approximate location of any intercepts, stationary points and points of inflection

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

U2.AoS1.5

circular functions of the form y=Af(nx)+c and their graphs, where f is the sine, cosine or tangent function

U2.AoS1.14

the key features and properties of the circular functions sine, cosine and tangent, and their graphs, including any vertical asymptotes

U2.AoS1.20

draw graphs of circular, exponential and simple logarithmic functions over a given domain and identify and discuss key features and properties of these graphs, including any vertical or horizontal asymptotes

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