https://file.aiquickdraw.com/mathbot/file/1728358854094lno4qqpq.jpg

The image asks to complete the table for values of \( \cos(x) \) for specific values of \( x \) in radians. Let's go through the values of \( x \) given and compute \( \cos(x) \).

1. **\( x = 0 \)**: 
   \[
   \cos(0) = 1
   \]
   This value is already provided.

2. **\( x = \frac{\pi}{2} \)**: 
   \[
   \cos\left(\frac{\pi}{2}\right) = 0
   \]
   The empty box should be filled with 0.

3. **\( x = \pi \)**: 
   \[
   \cos(\pi) = -1
   \]
   This value is already provided.

4. **\( x = \frac{3\pi}{2} \)**: 
   \[
   \cos\left(\frac{3\pi}{2}\right) = 0
   \]
   The empty box should be filled with 0.

5. **\( x = 2\pi \)**: 
   \[
   \cos(2\pi) = 1
   \]
   The empty box should be filled with 1.

### Completed Table:
- \( \cos(0) = 1 \)
- \( \cos\left(\frac{\pi}{2}\right) = 0 \)
- \( \cos(\pi) = -1 \)
- \( \cos\left(\frac{3\pi}{2}\right) = 0 \)
- \( \cos(2\pi) = 1 \)

Let me know if you'd like more details or have further questions.

### Relative Questions:
1. What is the general formula for the cosine function for any angle?
2. Can you

Complete the table for each value of x in radians: cos(0), cos(π/2), cos(π), cos(3π/2), cos(2π).

Learn how to complete the table of cosine values for key angles: 0, π/2, π, 3π/2, and 2π. This trigonometry problem covers the concept of the unit circle and cosine values, suitable for high school students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation