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Trigonometric Functions of General Angles Section 3.4
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Objectives Find the exact values of the trigonometric functions for general angles. Use coterminal angles to find the exact value of a trigonometric function. Determine the signs of the trigonometric functions of an angle in a given quadrant.
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Given (x, y) as the coordinates of any point (except the origin) on the terminal side of θ, and r as the distance from the origin to (x, y), the six trigonometric functions can be written in the following manner:
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Page 162 #11
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Find the exact values of the six trigonometric functions of 0°.
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Find the exact values of the six trigonometric functions of 90°.
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Find the exact values of the six trigonometric functions of 180°.
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Find the exact values of the six trigonometric functions of 270°.
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Coterminal Angles Two angles in standard position that have the same terminal side The values of the trigonometric functions of coterminal angles are equal.
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Page 162 #21
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Page 162 #33
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Page 162 (12-40 even)
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