https://file.aiquickdraw.com/mathbot/file/1726681991439zlvsx64f.jpg

To solve the problem, we need to determine which of the points on the unit circle has a coordinate equal to \( \cos(50^\circ) \).

In a unit circle, the **x-coordinate** of a point corresponds to the cosine of the angle, while the **y-coordinate** corresponds to the sine of the angle. Thus, we are looking for the **x-coordinate** of a point where the angle is \( 50^\circ \).

Here's how the points correspond on the unit circle:
- Point **A**: In the first quadrant, the angle is acute, which could be a candidate for \( \cos(50^\circ) \), because cosine is positive in this quadrant.
- Point **B**: In the second quadrant, cosine is negative, so it doesn't match \( \cos(50^\circ) \).
- Point **C**: In the fourth quadrant, cosine is positive, but since the angle here is greater than \( 90^\circ \), it doesn't match.

Thus, point **A** is the correct answer, as it is located in the first quadrant where cosine is positive and corresponds to the acute angle \( 50^\circ \).

Would you like more details on this, or do you have

Which of the coordinates is equal to cos(50°)?

Learn how to determine which coordinate on the unit circle corresponds to cos(50°). This problem explores key trigonometric concepts, including cosine and the unit circle. Suitable for students in 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