How do you derive the sine and cosine t-values given an angle on the unit circle, and how are these values used to solve right triangle problems?
Answer 1
Stephanie Santos
To derive sine and cosine t-values given an angle θ on the unit circle, identify the coordinates (x, y) where the terminal side of the angle intersects the circle. Here, x = cos(θ) and y = sin(θ). These values can solve right triangle problems by using the definitions of sine and cosine: sin(θ) = opposite/hypotenuse and cos(θ) = adjacent/hypotenuse.
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