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Trig – In a Nutshell

Trig – In a Nutshell. Help I’m trapped in a nutshell. The Unit Circle. (0,1). +,+. -,+. (1,0). (-1,0). +,-. -,-. (0,-1). Terminal ray. +. θ. -. These are the reference triangles. Trigonometric Functions. r. y. θ. x. The Identities. Lets go graphing

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Trig – In a Nutshell

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

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

  3. Terminal ray + θ -

  4. These are the reference triangles

  5. Trigonometric Functions r y θ x

  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 • 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 • Determine 3 New Asymptotes Set Argument = Old Asymptotes and solve for x • Find 2 midpoints • Plot these 2 points • Sketch the functions according to what they looked like before.

  11. Angle Addition Formulas

  12. Double/Half Angle

  13. Double/Half Angle Law of Cosines

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

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