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

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Presentation transcript:

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

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

+ - Terminal ray θ

These are the reference triangles

Trigonometric Functions θ x y r

The Identities

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

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

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

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.

Angle Addition Formulas

Double/Half Angle

Law of Cosines

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