Writing the equation of a sine or cosine... Español Write the equation of a sine or cosine function to describe the graph. OsinO OcosO D=0 Explanation Check raw HL LS AILKigniS Késerved. Terms of Use I Privacy Center Accessibility %3D

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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**Title: Writing the Equation of a Sine or Cosine Function**

**Section: Trigonometric Functions**

**Objective:** Write the equation of a sine or cosine function to describe the graph.

**Graph Explanation:**
- The graph displays a sinusoidal wave plotted on a coordinate grid.
- The x-axis is labeled with values from \(-\frac{3}{2}\) to \(\frac{15}{2}\).
- The y-axis is labeled with values from -4 to 4.
- The wave completes one full cycle from a maximum point at y=4 to a minimum point at y=-4, crossing the x-axis at regular intervals.
- It appears to be either a sine or cosine function with specific amplitude, period, and phase shift characteristics.

**User Task:** Describe the sinusoidal graph by writing its equation in the designated box. You may need to adjust the amplitude, frequency, phase shift, or vertical shift to match the graph.

**Interactive Elements:**
- A calculator-like tool with trigonometric and mathematical symbols is available on the right side to assist in writing the equation.
- Buttons labeled "Explanation" and "Check" are provided for additional help and to verify your response.

**Note:** The tool offers visualization to facilitate a deep understanding of how different parameters affect the graph of a trigonometric function.
Transcribed Image Text:**Title: Writing the Equation of a Sine or Cosine Function** **Section: Trigonometric Functions** **Objective:** Write the equation of a sine or cosine function to describe the graph. **Graph Explanation:** - The graph displays a sinusoidal wave plotted on a coordinate grid. - The x-axis is labeled with values from \(-\frac{3}{2}\) to \(\frac{15}{2}\). - The y-axis is labeled with values from -4 to 4. - The wave completes one full cycle from a maximum point at y=4 to a minimum point at y=-4, crossing the x-axis at regular intervals. - It appears to be either a sine or cosine function with specific amplitude, period, and phase shift characteristics. **User Task:** Describe the sinusoidal graph by writing its equation in the designated box. You may need to adjust the amplitude, frequency, phase shift, or vertical shift to match the graph. **Interactive Elements:** - A calculator-like tool with trigonometric and mathematical symbols is available on the right side to assist in writing the equation. - Buttons labeled "Explanation" and "Check" are provided for additional help and to verify your response. **Note:** The tool offers visualization to facilitate a deep understanding of how different parameters affect the graph of a trigonometric function.
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Given query is to find the function of the graph.

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