Using a Unit Circle to Find Trigonometric Function Values

This lesson covers finding the values of sine, cosine, and tangent using a unit circle. It reviews the 30-60-90 and 45-45-90 triangles, explaining how to use them to determine trigonometric ratios. The unit circle is introduced, showing how it simplifies the calculation of these ratios. Special triangles are applied to the unit circle to find coordinates, and methods for calculating sine, cosine, and tangent for specific angles are demonstrated. Finally, a technique for memorizing trigonometric values is provided.

What are the coordinates for a 30-degree angle using the 30, 60, 90 triangle?

What is the tangent of 60 degrees and how is it derived?

How can you remember the sine and cosine values for special angles?