Problem 82 of 7
Evaluate trig functions for angle greater than 2pi: 8pi/3.
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reduce using coterminal angles.
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Reduce using coterminal angles after multiple rotations.
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Solution
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1. Subtract multiples of 2pi to find a coterminal angle in [0,2pi).
2. Evaluate trig values at the coterminal angle.
3. Keep signs from the final quadrant.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Reducing by pi for sine/cosine unless sign is handled correctly.