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# 13.3 Trig functions of general angles

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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.
quadrant II quadrant IV

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 º

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 30° 45° 60° 90° Sin Cos Tan

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

sin (-90)

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