13.3 Trig functions of general angles

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Presentation transcript:

13.3 Trig functions of general angles Algebra II w/ trig

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)

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

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

3. quadrant III

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

A. Find the reference angle for each of the following. 1. 300º 2. 235º 3. -240º

4. 5.

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

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

3. 4. 5. sin (-90)