Complex Numbers

Polar Form

z = r·e^(iθ) - polar coordinates

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50°a = r·cos θb = r·sin θr=2.50
Modulus r: 2.50
Argument θ: 50°

Rectangular form

z=1.607+1.915iz = 1.607 + 1.915i

Polar form

z=2.50(cos⁡50°+isin⁡50°)z = 2.50(\cos 50° + i\sin 50°)
a=rcos⁡ heta,b=rsin⁡ hetaa = r\cos\ heta,\quad b = r\sin\ heta

Polar form describes a complex number by its distance from the origin (r) and angle from the real axis (θ). It's ideal for multiplication and powers.