Draw the following angle in standard position, find a point on the terminal side, and then find the sine, cosine, and the tangent of the angle. Hints: 1. Make sure to draw your vector all the way to the edge. 2. Answer exactly. 3. To find the trig values, pick any point on the line you drew and use the (x,y) values. 180° -5 -4 -3 -2 -1 Clear All Draw: sin 0 cos tan 0: 4- 3 ریا 2- 1 -1 -2- + 5 Point on the terminal side: 2 3

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter2: Right Triangle Trigonometry
Section2.4: Applications
Problem 48PS: Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The...
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Standard Position (Trigonometry) 

### Trigonometric Function Calculation for an Angle

**Instructions:**
1. Draw the following angle in standard position, find a point on the terminal side, and then find the sine, cosine, and the tangent of the angle.

**Hints:**
1. Make sure to draw your vector all the way to the edge.
2. Answer exactly.
3. To find the trig values, pick any point on the line you drew and use the (x,y) values.

**Example:**

**180°**

**Graph Explanation:**

Below, there is a grid that allows you to draw the angle. The x-axis and y-axis both range from -5 to 5. The graph includes:
- A grid with x and y coordinates.
- Axis labels range from -5 to 5 on both axes.
- A tool to draw vectors.

**Action Items:**
1. Draw the vector for 180° starting from the origin (0,0) to the left.
2. Find any point on this vector on the terminal side line, for example, (-1, 0).

**Trigonometric Values to Calculate:**
- **sin θ =** 
- **cos θ =** 
- **tan θ =** 

**Terminal Point Coordinates:**
- **Point on the terminal side:** ( \_\_ , \_\_ )

You can fill in the values after drawing the vector and identifying a point on the terminal side of the angle.

**Controls Available:**
- **Clear All:** Button to reset your drawing.
- **Draw:** Tool to draw your vector.

Ensure accuracy in drawing and calculation for a comprehensive understanding of trigonometric functions.
Transcribed Image Text:### Trigonometric Function Calculation for an Angle **Instructions:** 1. Draw the following angle in standard position, find a point on the terminal side, and then find the sine, cosine, and the tangent of the angle. **Hints:** 1. Make sure to draw your vector all the way to the edge. 2. Answer exactly. 3. To find the trig values, pick any point on the line you drew and use the (x,y) values. **Example:** **180°** **Graph Explanation:** Below, there is a grid that allows you to draw the angle. The x-axis and y-axis both range from -5 to 5. The graph includes: - A grid with x and y coordinates. - Axis labels range from -5 to 5 on both axes. - A tool to draw vectors. **Action Items:** 1. Draw the vector for 180° starting from the origin (0,0) to the left. 2. Find any point on this vector on the terminal side line, for example, (-1, 0). **Trigonometric Values to Calculate:** - **sin θ =** - **cos θ =** - **tan θ =** **Terminal Point Coordinates:** - **Point on the terminal side:** ( \_\_ , \_\_ ) You can fill in the values after drawing the vector and identifying a point on the terminal side of the angle. **Controls Available:** - **Clear All:** Button to reset your drawing. - **Draw:** Tool to draw your vector. Ensure accuracy in drawing and calculation for a comprehensive understanding of trigonometric functions.
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