https://file.aiquickdraw.com/mathbot/file/1726013376035purzxxij.jpg

Find the exact value of the following expression.

The expression you provided is \( \cos(180^\circ) \).

To find the exact value of \( \cos(180^\circ) \), we can refer to the unit circle. On the unit circle:

- \( 180^\circ \) corresponds to the point (-1, 0).
- The cosine of an angle is the x-coordinate of the corresponding point on the unit circle.

Thus, \( \cos(180^\circ) = -1 \).

The exact value of \( \cos(180^\circ) \) is \( -1 \).

Would you like further details or have any other questions?

Here are some related questions you might find interesting:
1. What is the value of \( \cos(90^\circ) \)?
2. How do you calculate the sine of \( 180^\circ \)?
3. What is the tangent of \( 180^\circ \)?
4. Can you explain the unit circle and how it relates to trigonometric functions?
5. How do you calculate angles in radians instead of degrees?

**Tip**: The unit circle is a powerful tool to quickly find the values of sine, cosine, and tangent for key angles. It helps to visualize the trigonometric relationships.

Learn how to find the exact value of cos(180°) using the unit circle. This trigonometry problem explores the relationship between angles and the unit circle, with a detailed explanation of how the x-coordinate of the corresponding point provides the cosine value. Ideal for Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation