4. Trigonometry

c. Circle Definitions

On this page, you will get tested on your understanding of the meanings of the period \(P\), the amplitude \(A\), the phase \(\phi\) and the median \(M\).

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.

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.