Test 4 Polar form of Complex Numbers
What is called the modulus (hypotenuse,or absolute value) of a complex number?
|z|
|z| is defined as____________?
√a²+b²
The imaginary part is ______?
b
The real part of this complex number is _______?
a
Therefore, tanθ = opp/adj = ?
b/a
Z=a+bi is the _________ form?
complex
A _____________ ____________ is an expression of the form a+bi where a and b are real nimbers?
complex number
This is the _________ of complex numbers?
division
The y-axis is called the ________ __________?
imaginary axis
=-1?
i²
The _________ is the distance the complex number is from the origin?
modulus
This is the _________ of complex numbers?
multiplication
z=r(cosθ+isinθ) is the ________form?
polar
What is the shorthand for r(cosθ + sinθi), both sin and cos have to match?
rcis(θ)
cosθ=a/r then a = adj/hyp = ?
rcosθ
If z=a+bi then z = ?
rcosθ+rsinθi
The x- axis is called the __________ __________?
real axis
sinθ=b/r then b = opp/hyp= ?
rsinθ