1. 66. Formulas for Systems Equations, Phase Shifts and Period Changes.notebook April 18, 2013
66. Formulas for Systems of Equations, Phase Shifts and Period Changes
a
1x + b
1y = c
1
a
2x + b
2y = c
2
Solve for x.

2. 66. Formulas for Systems Equations, Phase Shifts and Period Changes.notebook April 18, 2013
Use the formula we found previously to solve the system for x.
3x + 2y = 8
4x + 5y = 3
a1
x + b1
y = c1
a2
x + b2
y = c2

3. 66. Formulas for Systems Equations, Phase Shifts and Period Changes.notebook April 18, 2013
If the period of a sinusoid is different than 2π or 360
o,
we find the coefficient by dividing by the period.
Coefficient = 360
o or Coefficient = 2π
period period
y = A + B sin C(θ ­ D) y = A + B cos C(θ ­ D)
value of
center line
amplitude
360o
period
phase angle

4. 66. Formulas for Systems Equations, Phase Shifts and Period Changes.notebook April 18, 2013
Write both the sine and cosine equations of this sinusoid.
Scan p 424