PreCalculus worksheet featuring sinusoidal functions with equations, graphs, and sketching tasks.

PreCalculus worksheet on sinusoids with problems to determine amplitude and period of trigonometric functions, analyze graphs, and sketch functions over specified intervals.

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Show Answer Key & Explanations Step-by-step solution for: Sine And Cosine Functions Worksheet

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1. Amplitude: 1, Period: π/2
2. Amplitude: 1, Period: 2π/5
3. Amplitude: 2, Period: 2π
4. Amplitude: 4, Period: 2π/3
5. Amplitude: 2, Period: π/2
6. Amplitude: 3, Period: 3π
7. Amplitude: 3, Period: π, Equation: y = 3 sin(2x)
8. Amplitude: 4, Period: 2π, Equation: y = 4 cos(x)
9. Amplitude: 2, Period: 4π, Equation: y = 2 sin(x/2)
10. Amplitude: 5, Period: 2π, Equation: y = 5 sin(x)
11. Sketch: A sine wave with amplitude 4, period 2π, passing through (0,0), (π/2,4), (π,0), (3π/2,-4), (2π,0) and symmetrically in the negative x-direction.
12. Sketch: A cosine wave with amplitude 2, period 2π, passing through (0,2), (π/2,0), (π,-2), (3π/2,0), (2π,2) and symmetrically in the negative x-direction.

Parent Tip: Review the logic above to help your child master the concept of sine and cosine graphs worksheet.

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