Trig 7.5: Complex Numbers in Polar Form
θ can also be called...
Argument
The real axis is...
Horizontal
r can also be called...
Modulus
How to convert a complex number from polar to rectangular form?
Solve trig functions (cos and sin) and distribute outside number
The imaginary axis is...
Vertical
a is equivalent to...
rcosθ
b is equivalent to...
rsinθ
Find θ when converting to polar form
tanθ=b/a
If converting an equation like θ=2π/3 into rectangular form...
tanθ=b/a
Rectangular form of a complex number
z=a+bi
Polar form of a complex number
z=r(cosθ+isinθ)
Finding the quotient of a complex number in polar form
z₁/z₂=r₁/r₂[cos(θ₁-θ₂)+isin(θ₁-θ₂)]
Finding the product of a complex number in polar form
z₁z₂=r₁r₂[cos(θ₁+θ₂)+isin(θ₁+θ₂)]
How to find r in z=r(cosθ+isinθ)?
√a²+b²
Used to find the absolute value of a complex number
√a²+b²