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13 Cards in this Set

  • Front
  • Back

Linear and angular velocity

v = r ω

Definition of a radian


s=

s = rθ

In the unit circle since r=1


then s=

s=θ

unit circle

draw it

starting angle of tan

set parenthesis = - π/2

Sin & Cos graph


y=

y= d + a sin (bx - c)




d: vert. shift


a: amplitude


b: Period = 2π/b


c: c/b (Start angle -> set parentesis to 0 unless its tan set to -π/2)

Tan & Cot graph

y= d + a tan (bx - c)




d: vert. shift


a: amplitude


b: Period = π/b


c: c/b (Start angle -> set parentesis to -π/2)

when converting omega to rad multiply:

*(2π rad)




Leave in terms of π

know parent function graphs


sin, csc


cos, sec


tan, cot

graph

squared =

= +_ radican

solve:


cos^2 x +cos x = 1

move one over and factor




(Remember: It's just algebra, you can substitute a variable for each function)


1. Factor


2. add fractions


3. square binomials


4. create monomial denominators


*use identities when possible


*If none of the above work, concert to sin and cos



solve:


cos x + 1 = sin x

square both sides


then check each solution in the original equation

Finding the Area of a sector

A = 1/2 rs