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5.07 Graphing sine and cosine

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

ACMMM025

examine translations and the graphs of y=f(x)+a and y=f(x+b)

ACMMM037

examine amplitude changes and the graphs of y=asin⁡x and y=acosx

ACMMM038

examine period changes and the graphs of y=sin ⁡bx, y=cos bx, and y=tan ⁡bx

ACMMM039

examine phase changes and the graphs of y=sin⁡(x+c), y=cos⁡(x+c) and y=tan⁡(x+c) and the relationships sin⁡(x+π/2)=cos⁡x and cos⁡(x−π/2)=sin⁡x

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