### Circular Motion and Trigonometry Project#### Project Work (C)1. **Circle Equation Using Wheel's Radius:** - Use the radius of your wheel to write an equation of a circle, centered at (0,0), with a radius and diameter equal to that of your wheel. - Given: \[ \text{radius} = 96 \text{ feet} \]2. **Point Coordinates on a Circle:** - Write the coordinates of points A, B, C, and D on the graph.3. **Measure of Angle of Rotation:** - Write the measure of the angle of rotation clockwise from A to each point below. - Then use the definition of \(\sin(\theta) = \frac{{\text{opposite}}}{{\text{hypotenuse}}}\) to find the sine of each of the four angles. | Measure of the Angle (\(\theta\)) | Sine of the Angle | |----------------------------------|-------------------| | A to A |\[ \] | \[ \] | | A to B | | | | A to C | | | | A to D | | | - Use a calculator to check the sine values above.4. **Drawing and Labeling Angles:** - Draw a 200° angle in standard position. - Label point \(P\), the intersection of the terminal ray and the circle. - Draw a reference triangle. - Calculate the height below the midline for point \(P\). - Determine the y-coordinate of point \(P\). - Use the equation of your circle from step 1 to find the x-coordinate of point \(P\).---#### Summary of Graph Information:- **Graph Description:** The provided diagram is a coordinate grid with a circle centered at (0,0). The circle has four points labeled A, B, C, and D. Point A is at (96, 0), Point B is at (0, 96), Point C is at (-96, 0), and Point D is at (0, -96).#### Resources and Credits:- Draw angles in a standard position on a coordinate grid, decide if angles are coterminal, and therefore have the same value for the sine function.© 2021 Open Up

I am going to solve the problem by using some simple trigonometry to get the required result of the…

Answered: III. Project Work (C) 1. Use the radius…

III. Project Work (C) 1. Use the radius of your wheel to write an equation of a circle, centered at (0, 0), with a radius and diameter equal to that of your wheel. radius=96feet

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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Question

### Circular Motion and Trigonometry Project

#### Project Work (C)

1. **Circle Equation Using Wheel's Radius:**
- Use the radius of your wheel to write an equation of a circle, centered at (0,0), with a radius and diameter equal to that of your wheel.
- Given:
\[
\text{radius} = 96 \text{ feet}
\]

2. **Point Coordinates on a Circle:**
- Write the coordinates of points A, B, C, and D on the graph.

3. **Measure of Angle of Rotation:**
- Write the measure of the angle of rotation clockwise from A to each point below.
- Then use the definition of \(\sin(\theta) = \frac{{\text{opposite}}}{{\text{hypotenuse}}}\) to find the sine of each of the four angles.

| Measure of the Angle (\(\theta\)) | Sine of the Angle |
|----------------------------------|-------------------|
| A to A |\[ \] | \[ \] |
| A to B | | |
| A to C | | |
| A to D | | |

- Use a calculator to check the sine values above.

4. **Drawing and Labeling Angles:**
- Draw a 200° angle in standard position.
- Label point \(P\), the intersection of the terminal ray and the circle.
- Draw a reference triangle.
- Calculate the height below the midline for point \(P\).
- Determine the y-coordinate of point \(P\).
- Use the equation of your circle from step 1 to find the x-coordinate of point \(P\).

---
#### Summary of Graph Information:
- **Graph Description:**
The provided diagram is a coordinate grid with a circle centered at (0,0). The circle has four points labeled A, B, C, and D. Point A is at (96, 0), Point B is at (0, 96), Point C is at (-96, 0), and Point D is at (0, -96).

#### Resources and Credits:
- Draw angles in a standard position on a coordinate grid, decide if angles are coterminal, and therefore have the same value for the sine function.

© 2021 Open Up

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