SOLUTIONS
This is the trigonometric form of a complex number where
the modulus and
θ
is the angle created on the complex plane.
From the graph, a = r cos θ and b = r sin θ.
z=a+bi
z=rcosθ+irsinθ
z=r(cosθ+isinθ)
Trigonometric Form of a Complex Number
z=r(cosθ+isinθ)
r is called the modulus and θ is called the argument
Convert between trigonometric form and standard form using
a=rcosθ
b=rsinθ
tanθ=b/a
Therefore the trigonometric form will be