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Trigonometric Functions of General Angles Section 3.4.

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Presentation on theme: "Trigonometric Functions of General Angles Section 3.4."— Presentation transcript:

1 Trigonometric Functions of General Angles Section 3.4

2 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.

3 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:

4 Page 162 #11

5 Find the exact values of the six trigonometric functions of 0°.

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7 Find the exact values of the six trigonometric functions of 90°.

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9 Find the exact values of the six trigonometric functions of 180°.

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11 Find the exact values of the six trigonometric functions of 270°.

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13 Coterminal Angles Two angles in standard position that have the same terminal side The values of the trigonometric functions of coterminal angles are equal.

14 Page 162 #21

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16 Page 162 #33

17 Page 162 (12-40 even)


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