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