3. Trigonometry

c. Circle Definitions

5. Properties of Sine and Cosine Curves

Generic Sine Function

Below is the graph of \(y=A\sin\left(2\pi\dfrac{x}{P}-\phi\right)+M\), where the period is \(P\), the amplitude is \(A\), the phase is \(\phi\) and the median is \(M\). Try moving the sliders to see what happens to the graph.

Generic Cosine Function

Below is the graph of \(y=A\cos\left(2\pi\dfrac{x}{P}-\phi\right)+M\), where the period is \(P\), the amplitude is \(A\), the phase is \(\phi\) and the median is \(M\). Try moving the sliders to see what happens to the graph.