Unit #6: Graphs and Inverses of Trig Functions

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Presentation transcript:

Unit #6: Graphs and Inverses of Trig Functions Accel Precalc Unit #6: Graphs and Inverses of Trig Functions Lesson 2: Evaluate Trig Functions of Angles Not on Unit Circle EQ: How do you evaluate trig functions of angles not defined by the special angles on the unit circle?

On the Unit Circle, since the radius (hypotenuse) is 1, Yesterday we derived all of values of the 6 trig functions for the angles on the Unit Circle. We were able to do this because all reference angles on the Unit Circle are one of our “special angles” --- 45˚, 30˚, or 60˚. On the Unit Circle, since the radius (hypotenuse) is 1, cos  will always = the adjacent side and sin  will always = the opposite side.

But what happens if you are NOT on the Unit Circle and  is NOT one of the special reference angles? RECALL: Define the 6 Trig Functions Using Right Triangles sin θ = cos θ = tan θ =   csc θ = sec θ = cot θ =

In Class Examples: Plot a point for each set of ordered pairs in the correct quadrant. (3, 1) 1. 1 3

(-24, 10) 26 10 -24

-5 -6

(6, -14) 6 -14

Assignment: Worksheet #3 Evaluate Trig Functions On and Off the Unit Circle p. 320 ODD #5 – 11, 19 – 25 You also have WS’s #1 & 2 to work on.