Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1. I. II. 5. A. 45° 6. B. 60° 7. C. 82° 8. D. 30° 9. E. 38° 10. 480° F. 32°
3. Unit Circle
Reference Angles
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Find the exact value of each expression. See Example 3. sin 1305°
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Find the exact value of each expression. See Example 3. tan(-1020°)
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Find the exact value of each expression. See Example 3. sec(-495°)
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Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. sec(θ + 180°)
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Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. cot(θ + 180°)
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Suppose θ is in the interval (90°, 180°). Find the sign of each of the following. sin(-θ)
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Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. cos θ = -½
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Find all values of θ, if θ is in the interval [0°, 360°) and has the given function value. sec θ = -2√3 3
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Evaluate each expression. Give exact values. tan² 120° - 2 cot 240°
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Evaluate each expression. Give exact values. sec² 300° - 2 cos² 150°
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Find the reference angle for each angle.
205°
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Find the reference angle for each angle.
5π/4
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Find the reference angle for each angle.
4.7
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Find the reference angle for each angle.
23π/4
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