Final answer:
The unit circle and trigonometric functions are related through the values of sine and cosine for different angles. Trigonometric functions are used to calculate ratios of the sides of a triangle in relation to its angles.
Step-by-step explanation:
The unit circle and trigonometric functions are related through the values of sine and cosine for different angles. The unit circle is a circle with a radius of 1, centered at the origin of a coordinate system. The x-coordinate of a point on the unit circle corresponds to the cosine of the angle, while the y-coordinate corresponds to the sine of the angle.
For example, on the unit circle, at an angle of 30 degrees, the x-coordinate is √3/2 and the y-coordinate is 1/2. This means that the cosine of 30 degrees is √3/2 and the sine of 30 degrees is 1/2.
Trigonometric functions like sine and cosine are used to calculate ratios of the sides of a triangle in relation to its angles. By using the unit circle, we can easily find the values of sine and cosine for different angles.