Math Problem Statement

What is the value of the x-coordinate of point A?

Solution

The image shows a unit circle with point AA on the circumference at an angle of 00^\circ. The point AA lies on the positive xx-axis, directly to the right of the origin.

In the unit circle, a point on the circumference at 00^\circ corresponds to the coordinate (1,0)(1, 0), meaning the xx-coordinate of point AA is:

x=1x = 1

Would you like further details or explanations on this?

Here are some related questions to explore further:

  1. What are the coordinates of a point on the unit circle at 9090^\circ?
  2. How do we calculate the coordinates of any point on the unit circle using trigonometric functions?
  3. What is the general equation of a unit circle?
  4. How would you determine the coordinates of a point at 180180^\circ on the unit circle?
  5. What are the coordinates of a point on the unit circle at 270270^\circ?

Tip: Remember, on the unit circle, the coordinates of any point are (cosθ,sinθ)(\cos \theta, \sin \theta), where θ\theta is the angle from the positive xx-axis.

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Math Problem Analysis

Mathematical Concepts

Trigonometry
Unit Circle

Formulas

Coordinates of points on the unit circle: (cos θ, sin θ)

Theorems

Unit Circle Theorem

Suitable Grade Level

Grades 9-11