Sine and Cosine Graphs Worksheet

Understand and graph sine and cosine functions, including amplitude, period, and phase shift.

Grade 10 Math TrigonometrySine and Cosine Graphs

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Includes

Multiple ChoiceFill in the BlanksShort Answer2 CustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.TF.B.5

Topics

TrigonometrySineCosineGraphsHigh School Math

8 sections · Free to use · Printable

Sine and Cosine Graphs

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Date:

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. What is the amplitude of the function y = 3sin(2x) + 1?

2. The period of the function y = cos(x/2) is:

2π

4π

π/2

3. The of a sinusoidal graph is half the distance between its maximum and minimum values.

4. A phase shift moves the graph horizontally, and for y = A sin(Bx - C) + D, the phase shift is calculated as .

5. Describe the key features of the graph of y = -2cos(x + π/4).

6. Graph one full period of the function y = sin(x) on the coordinate plane below.

7. Identify the amplitude, period, and phase shift of the sine wave shown in the diagram.

Amplitude:

Period:

Phase Shift:

8. The graph of y = cos(x) passes through the origin (0,0).

True

False

9. A vertical shift affects the amplitude of a sinusoidal graph.

True

False