Topics
7. Trigonometric Functions
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AustraliaQLD
Year 11

7.07 Graphing sine and cosine

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=βˆ’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

1.2.1.4

examine transformations of the graphs of 𝑓(π‘₯), including dilations and reflections, and the graphs of 𝑦=π‘Žf(π‘₯) and 𝑦=𝑓(𝑏x), translations, and the graphs of 𝑦=𝑓(π‘₯+𝑐) and 𝑦=𝑓(π‘₯)+𝑑; π‘Ž,𝑏,𝑐,𝑑 ∈ R

2.3.2.4

investigate the effect of the parameters 𝐴,𝐡,𝐢 and 𝐷 on the graphs of 𝑦=𝐴sin(𝐡(π‘₯+𝐢))+𝐷, 𝑦=𝐴cos(𝐡(π‘₯+𝐢))+𝐷 with and without technology

2.3.2.5

sketch the graphs of 𝑦=𝐴sin(𝐡(π‘₯+𝐢))+𝐷, 𝑦=𝐴cos(𝐡(π‘₯+𝐢))+𝐷 with and without technology

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