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Trigonometric Functions Review and Arc Length Calculation

This review covers the basics of trigonometric functions, including the period, even and odd functions, and transformation of graphs. It also includes examples of finding specific trigonometric values and calculating arc length. Homework problems included.

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Trigonometric Functions Review and Arc Length Calculation

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  1. 1-6 Review for 3-5 trigonometric functions

  2. (most of this is review, there are not many examples) Arc Length: s = r radius angle (radians) Trigonometric Functions y = cos x y = sec x (the one below) 1 1 –1 –1 Period = 2 Period = 2

  3. y = sin x y = tan x Period = 2 Period =  y = cscx y = cot x 1 1 1 1 –1 –1 –1 –1 Period =  Period = 2

  4. Even Functions: cos, sec Odd Functions: sin, csc, tan, cot To find specific values, draw a picture! Ex 3) Find all the trigonometric values of  if 4  –3 5

  5. General Form for Transformation of Graphs y = a f (b(x – c)) + d vertical stretch/ shrink horizontal stretch/ shrink horizontal shift vertical shift Sinusoidal Functions C horizontal shift D vertical shift

  6. Inverse Trig Functions

  7. homework Pg. 135 #1, 13, 18, 24, 34, 40, 42, 44 Pg. 51 #2 – 41 (mult of 2 + 3n, skip 23)

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