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

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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)

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

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

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3. quadrant III

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

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

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4. 5.

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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

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

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sin (-90)

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