Sketch a graph of I = 2+ cos(t), y = 1+ sin(t), 0

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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**Graph Sketching Exercise**

**Objective:** Sketch a graph of the parametric equations \(x = 2 + \cos(t)\) and \(y = 1 + \sin(t)\) for \(0 \leq t < 2\pi\).

**Graph Details:**

- The graph is plotted on a coordinate plane ranging from -5 to 5 on both axes.
- The task is to draw the path described by the parametric equations on this grid.
- The shape of the graph is expected to be an ellipse centered at (2, 1) with a horizontal radius of 1 and a vertical radius of 1.

**Drawing Options:**

- Various tools and options are available for sketching different types of shapes or lines.
- You can clear the sketch using the "Clear All" button.

**Task Question:**

- Determine the orientation of the graph:
  - Options are "clockwise" or "counter-clockwise."

**Additional Features:**

- Get help or pose questions to the instructor using the provided messaging options.
- Submit your completed work using the "Submit Question" button.

**Note:** This exercise is designed to enhance understanding of parametric equations and their visual representations on a graph.
Transcribed Image Text:**Graph Sketching Exercise** **Objective:** Sketch a graph of the parametric equations \(x = 2 + \cos(t)\) and \(y = 1 + \sin(t)\) for \(0 \leq t < 2\pi\). **Graph Details:** - The graph is plotted on a coordinate plane ranging from -5 to 5 on both axes. - The task is to draw the path described by the parametric equations on this grid. - The shape of the graph is expected to be an ellipse centered at (2, 1) with a horizontal radius of 1 and a vertical radius of 1. **Drawing Options:** - Various tools and options are available for sketching different types of shapes or lines. - You can clear the sketch using the "Clear All" button. **Task Question:** - Determine the orientation of the graph: - Options are "clockwise" or "counter-clockwise." **Additional Features:** - Get help or pose questions to the instructor using the provided messaging options. - Submit your completed work using the "Submit Question" button. **Note:** This exercise is designed to enhance understanding of parametric equations and their visual representations on a graph.
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