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Trig – In a Nutshell Help I’m trapped in a nutshell.

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Presentation on theme: "Trig – In a Nutshell Help I’m trapped in a nutshell."— Presentation transcript:

1 Trig – In a Nutshell Help I’m trapped in a nutshell

2 (1,0) (0,-1) (0,1) (-1,0) +,+ -,- -,+ +,- The Unit Circle

3 + - Terminal ray θ

4 These are the reference triangles

5 Trigonometric Functions θ x y r

6 The Identities

7 Lets go graphing p.s. – are cos x and sin x odd or even functions?

8 d? Move graph  c? Moves graph  a? Changes Amplitude b? Changes Period 

9 Graphing Trig Functions (my method) Sin/Cos 1. Determine New Start: Set Argument = 0 2.Determine New End: Set Argument = 2π (or New Start + Period) 3. Find 3 midpoints 4. Plot these 5 points

10 Graphing Trig Functions (my method) Tan/Cot/Sec/Csc 1.Determine 3 New Asymptotes Set Argument = Old Asymptotes and solve for x 2.Find 2 midpoints 3.Plot these 2 points 4.Sketch the functions according to what they looked like before.

11 Angle Addition Formulas

12 Double/Half Angle

13 Law of Cosines

14 Inverse Trig For sin -1 x, csc -1 x, tan -1 x QI or QIV (go clockwise!) For cos -1 x, sec -1 x, cot -1 x QI or QII


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