Help ### Task 2. Building $ f(x) = \cos(x) $Using the Unit Circle that we built before, put the values of $ \cos(x) $ for each angle below. Then see each point plotted in the graph.Compare the behavior of the graph with your answer about the change in $ x $ coordinate from the Warm Up.#### Graph Explanation:- The graph is a Cartesian plane with the horizontal axis labeled as $ x $ (degrees) and ranging from 0 to 360 degrees.- The vertical axis is labeled $ \cos(x) $ and ranges from -2 to 2.- Major grid lines indicate the key angles (e.g., 0°, 30°, 60°, and so on).- The graph will plot points corresponding to cosine values for specified angles to visualize the cosine function.#### Table of Values:| $ x $ (degrees) | $ \cos(x) $ ||-------------------|---------------|| 0 | || 30 | || 45 | || 60 | || 90 | || 120 | || 135 | || 150 | || 180 | || 210 | || 225 | || 240 | || 270 | || 300 | || 315 | || 330 | || 360 | |Students are expected to fill in the values of cosine for each of these angles and observe how the cosine function is represented on the graph. This exercise helps understand the periodic nature of the cosine function and its key characteristics. **Title: Exploring the Cosine Function****Introduction:**This interactive exercise allows you to explore the cosine function over a range of angles. The table provided lists angles in degrees and their corresponding cosine values. You can fill in the cosine values for each angle and use the graph to visualize the function.**Graph and Table Explanation:****Graph:**- The graph represents the cosine function, $ \cos(x) $, where $ x $ is in degrees. - The x-axis ranges from 0 to 360 degrees, marked at intervals of 30 degrees.- The y-axis represents the value of $ \cos(x) $ and ranges from -2 to 2, though the cosine function will primarily oscillate between -1 and 1.- This graph plots the values of $ \cos(x) $ against $ x $, creating a characteristic wave pattern.**Table:**- The table is divided into two columns: - The first column lists the angle $ x $ in degrees at intervals, starting from 0 degrees and going up to 360 degrees. - The second column is where you will input the corresponding $ \cos(x) $ values.**Table Summary:**| x (degrees) | Cos(x) ||-------------|--------|| 0 | || 30 | || 45 | || 60 | || 90 | || 120 | || 135 | || 150 | || 180 | || 210 | || 225 | || 240 | || 270 | || 300 | || 315 | || 330 | || 360 | |**Instructions:**1. Analyze the angle $ x $ in the table.2. Calculate the cosine of each angle.3. Enter the calculated $ \cos(x) $ values in the respective row.4. Once complete, observe how the input values map onto the graph to form the cosine wave.5. Click the submit button to verify your entries and see the plotted curve.**Conclusion:**Understanding the cosine function is fundamental in trigonometry. This exercise helps visualize how $ \cos(x) $ varies with $ x $, reinforcing the

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Description: Help ### Task 2. Building $ f(x) = \cos(x) $Using the Unit Circle that we built before, put the values of $ \cos(x) $ for each angle below. Then see each point plotted in the graph.Compare the behavior of the graph with your answer about the chan

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Task 2. Building f(x) = cos(x) %3D Using the Unit Circle that we built before put the values of cos(x) for each angle below. Then see each point plotted in the graph. Compare the behavior of the graph with your answer about the change in x coordinate from the Warm Up. x (degrees) Cos(x) 120 150 180 210 240 270 300 330 360 x (degrees) 30 60 90 30 45 60 90 120 135 150 180 210 225 240 270 300 315 (x)sc

Task 2. Building f(x) = cos(x) %3D Using the Unit Circle that we built before put the values of cos(x) for each angle below. Then see each point plotted in the graph. Compare the behavior of the graph with your answer about the change in x coordinate from the Warm Up. x (degrees) Cos(x) 120 150 180 210 240 270 300 330 360 x (degrees) 30 60 90 30 45 60 90 120 135 150 180 210 225 240 270 300 315 (x)sc

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Help

### Task 2. Building $ f(x) = \cos(x) $

Using the Unit Circle that we built before, put the values of $ \cos(x) $ for each angle below. Then see each point plotted in the graph.

Compare the behavior of the graph with your answer about the change in $ x $ coordinate from the Warm Up.

#### Graph Explanation:

- The graph is a Cartesian plane with the horizontal axis labeled as $ x $ (degrees) and ranging from 0 to 360 degrees.
- The vertical axis is labeled $ \cos(x) $ and ranges from -2 to 2.
- Major grid lines indicate the key angles (e.g., 0°, 30°, 60°, and so on).
- The graph will plot points corresponding to cosine values for specified angles to visualize the cosine function.

#### Table of Values:

| $ x $ (degrees) | $ \cos(x) $ |
|-------------------|---------------|
| 0 | |
| 30 | |
| 45 | |
| 60 | |
| 90 | |
| 120 | |
| 135 | |
| 150 | |
| 180 | |
| 210 | |
| 225 | |
| 240 | |
| 270 | |
| 300 | |
| 315 | |
| 330 | |
| 360 | |

Students are expected to fill in the values of cosine for each of these angles and observe how the cosine function is represented on the graph. This exercise helps understand the periodic nature of the cosine function and its key characteristics.

**Title: Exploring the Cosine Function**

**Introduction:**

This interactive exercise allows you to explore the cosine function over a range of angles. The table provided lists angles in degrees and their corresponding cosine values. You can fill in the cosine values for each angle and use the graph to visualize the function.

**Graph and Table Explanation:**

**Graph:**
- The graph represents the cosine function, $ \cos(x) $, where $ x $ is in degrees.
- The x-axis ranges from 0 to 360 degrees, marked at intervals of 30 degrees.
- The y-axis represents the value of $ \cos(x) $ and ranges from -2 to 2, though the cosine function will primarily oscillate between -1 and 1.
- This graph plots the values of $ \cos(x) $ against $ x $, creating a characteristic wave pattern.

**Table:**
- The table is divided into two columns:
- The first column lists the angle $ x $ in degrees at intervals, starting from 0 degrees and going up to 360 degrees.
- The second column is where you will input the corresponding $ \cos(x) $ values.

**Table Summary:**

| x (degrees) | Cos(x) |
|-------------|--------|
| 0 | |
| 30 | |
| 45 | |
| 60 | |
| 90 | |
| 120 | |
| 135 | |
| 150 | |
| 180 | |
| 210 | |
| 225 | |
| 240 | |
| 270 | |
| 300 | |
| 315 | |
| 330 | |
| 360 | |

**Instructions:**
1. Analyze the angle $ x $ in the table.
2. Calculate the cosine of each angle.
3. Enter the calculated $ \cos(x) $ values in the respective row.
4. Once complete, observe how the input values map onto the graph to form the cosine wave.
5. Click the submit button to verify your entries and see the plotted curve.

**Conclusion:**

Understanding the cosine function is fundamental in trigonometry. This exercise helps visualize how $ \cos(x) $ varies with $ x $, reinforcing the

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