The unit circle is a fundamental concept in trigonometry. It is a circle with a radius of 1, centered at the origin of a coordinate plane. The unit circle allows us to relate angles to coordinates and understand the behavior of trigonometric functions.

Trigonometric ratios, such as sine, cosine, and tangent, are mathematical functions that relate angles to the sides of a right triangle. In the unit circle, the ratios are defined as follows:

• Sine (sin): The ratio of the y-coordinate to the radius of the unit circle.
• Cosine (cos): The ratio of the x-coordinate to the radius of the unit circle.
• Tangent (tan): The ratio of the sine to the cosine, which is equivalent to the ratio of the y-coordinate to the x-coordinate.

Understanding the unit circle and trigonometric ratios is crucial in solving various trigonometry problems and analyzing the relationships between angles and side lengths.

Keep practicing and exploring trigonometry to unlock its fascinating applications!