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13.3 T RIG FUNCTIONS OF GENERAL ANGLES Algebra II w/ trig.

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Presentation on theme: "13.3 T RIG FUNCTIONS OF GENERAL ANGLES Algebra II w/ trig."— Presentation transcript:

1 13.3 T RIG FUNCTIONS OF GENERAL ANGLES Algebra II w/ trig

2 I. Let theta be an angle in standard position with any point (x, y) on its terminal side. Then let. (cosine is x; sine is y)

3 A. Given a point on the terminal side of angle theta. Find the exact six trig functions. 1. (-12, 5) 2.

4 II. For each function, find the exact values of the remaining five trig functions. 1. quadrant II 2. quadrant IV

5 3. quadrant III

6 III. Reference Angle is formed by the terminal side and the x-axis. ***Reference angles are always acute and always positive.

7 A. Find the reference angle for each of the following º º º

8 4. 5.

9 IV. Evaluating Trig Function of any Angle --find the reference angle --evaluate the trig function for the --use the quadrant in which is in to determine the sign 0° 30° 45° 60° 90° Sin Cos Tan

10 Find the exact value of each trig function 1. sin 135° 2.

11 sin (-90)


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