How can you use the unit circle to determine the sine and cosine values of special angles?
Answer 1
Jason Davidson
The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane. Special angles, typically 0°, 30°, 45°, 60°, and 90°, correspond to specific points on this circle. The x-coordinate of these points represents the cosine value, while the y-coordinate represents the sine value. For example, at 0°, the coordinates are (1, 0), so cos(0°) = 1 and sin(0°) = 0. At 45°, the coordinates are (√2/2, √2/2), so cos(45°) = √2/2 and sin(45°) = √2/2. This method can be applied to other special angles to find their sine and cosine values.
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