Determining Rules for Graphs of Circular Functions (VCE SSCE Mathematical Methods): Quizzes

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Determining Rules for Graphs of Circular Functions
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In f(t)=Asin(nt+ε)+bf(t) = A \sin(nt + \varepsilon) + b, what does AA represent?

Amplitude

If a circular function has period 88, what is the value of nn?

π4\frac{\pi}{4}

A function has range [3,7][-3, 7]. What is the amplitude?

55

A function has range [1,9][1, 9]. What is the value of bb?

55

If b=3b = 3 in f(t)=Asin(nt)+bf(t) = A \sin(nt) + b, what is the centreline equation?

y=3y = 3

What formula relates period and the frequency parameter nn?

Period = 2πn\frac{2\pi}{n}

In f(t)=Asin(nt+ε)+bf(t) = A \sin(nt + \varepsilon) + b, what does ε\varepsilon represent?

Phase shift

Range is [5,3][-5, 3]. Find amplitude and bb.

A=4A=4, b=1b=-1

If n=π6n = \frac{\pi}{6} in a circular function, what is the period?

1212

Where is the centreline positioned on a graph?

Halfway between max and min values

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