Give the amplitude and period of the graph. 4 3 -5/2 -3t/2 -Tt/2 3/2 5/2 -1 -2 -3 -4 |-5+ Amplitude: Preview Period: Preview

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Transcription and Description for an Educational Website

#### Task:
Give the amplitude and period of the graph.

#### Graph Description:
The graph is a trigonometric sine wave plotted on a Cartesian plane. It shows three full cycles of the wave:

- The x-axis is labeled in radians, starting from -3π and ending at 3π. Key points marked on the x-axis include -3π, -5π/2, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 2π, 5π/2, and 3π.
- The y-axis ranges from -5 to 5.
- The wave reaches its peaks at y = 5 and troughs at y = -5, indicating the amplitude is 5.
- A full cycle of the wave travels from 0 to 2π, indicating the period is 2π.

#### Input Prompts:
- **Amplitude:** [Input box]
- **Period:** [Input box]

Both input boxes have associated "Preview" buttons, allowing users to check their answers.

### Instructions for Students:
1. Observe the peak and trough values on the graph to determine the amplitude.
2. Determine the distance along the x-axis for one complete cycle to find the period.
3. Enter your answers in the provided input boxes and click "Preview" to verify.
Transcribed Image Text:### Transcription and Description for an Educational Website #### Task: Give the amplitude and period of the graph. #### Graph Description: The graph is a trigonometric sine wave plotted on a Cartesian plane. It shows three full cycles of the wave: - The x-axis is labeled in radians, starting from -3π and ending at 3π. Key points marked on the x-axis include -3π, -5π/2, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 2π, 5π/2, and 3π. - The y-axis ranges from -5 to 5. - The wave reaches its peaks at y = 5 and troughs at y = -5, indicating the amplitude is 5. - A full cycle of the wave travels from 0 to 2π, indicating the period is 2π. #### Input Prompts: - **Amplitude:** [Input box] - **Period:** [Input box] Both input boxes have associated "Preview" buttons, allowing users to check their answers. ### Instructions for Students: 1. Observe the peak and trough values on the graph to determine the amplitude. 2. Determine the distance along the x-axis for one complete cycle to find the period. 3. Enter your answers in the provided input boxes and click "Preview" to verify.
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