Common Core · High school

HSF-TF.B.5

High school — Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency and midline.

The skill that covers it

Graphs of Sine & CosineUnroll the unit circle into a wave: read the amplitude, period, midline and phase shift of y = a sin(b(x - h)) + k off its equation and its graph, and write the equation of a wave you are shown.Read the lesson →

What a student should be able to do

State the amplitude, period and midline of a sine or cosine function from its equation.
Find the phase shift and the direction of a reflection.
Write the equation of a sine or cosine wave from its features or its graph.
Model a periodic situation, such as a tide or a wheel, with a sinusoidal function.

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