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Standard Form of Complex Numbers
z = a+bi
Absolute Value of a Complex number
Trigonometric Form of a Complex Number
z=r(cosΘ +isinΘ), where a = rcosΘ, b=rsinΘ, and r=√(a²+b²), and tanΘ=b/a.
Product of Two Complex Numbers in Trigonometric Form
Quotient of Two Complex Numbers in Trigonometric Form
z1 / z2=r1 / r2[cos(Θ1-Θ2)+isin(Θ1-Θ2)], where z2!=0
- if z = r(cosΘ+isinΘ)
- zn=[r(cosΘ+isinΘ)]n = rn (cosnΘ+isinnΘ)
Finding Roots of Complex Numbers
)) where k =0, 1, 2, 3..., n-1.
Motion Formula using Parametric Equations
- 4.9 if in meters, 16 if in feet
Finding rectangular equations of parametric equations
Solve for t in the x or y equation, then plug that value for t in whichever equation, x or y, that you didn't use.
Relationships to convert from polar to rectangular
Relationships to convert from rectangular to polar