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Published byBartholomew Harper Modified over 9 years ago
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Trig – In a Nutshell Help I’m trapped in a nutshell
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(1,0) (0,-1) (0,1) (-1,0) +,+ -,- -,+ +,- The Unit Circle
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+ - Terminal ray θ
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These are the reference triangles
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Trigonometric Functions θ x y r
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The Identities
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Lets go graphing p.s. – are cos x and sin x odd or even functions?
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d? Move graph c? Moves graph a? Changes Amplitude b? Changes Period
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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
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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.
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Angle Addition Formulas
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Double/Half Angle
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Law of Cosines
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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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