3. Trigonometry

c. Circle Definitions

6. Tutorial on the Properties of Sine and Cosine Curves

Generic Sine Function

Below is the graph of \(y=A\sin\left(2\pi\dfrac{x}{P}-\phi\right)+M\). Click on New Problem to get a randomized problem. Then, identify the period, \(P\), the amplitude, \(A\), the phase, \(\phi\) and the median, \(M\) from the drop-down menues.




Period:

Amplitude:

Phase:

Median:







Generic Cosine Function

Below is the graph of \(y=A\cos\left(2\pi\dfrac{x}{P}-\phi\right)+M\). Click on New Problem to get a randomized problem. Then, identify the period, \(P\), the amplitude, \(A\), the phase, \(\phi\) and the median, \(M\) from the drop-down menues.




Period:

Amplitude:

Phase:

Median:







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Supported in part by NSF Grant #1123255