Match the complex number form to its representation

Exercise and reference answers

Matching pairs

1. Left

   Rectangular

   Right

   z = x + iy

2. Left

   Polar (mod-arg)

   Right

   z = r(cosθ + i sinθ)

3. Left

   Exponential

   Right

   z = r·e^(iθ)

4. Left

   Modulus

   Right

   |z| = √(x² + y²)

5. Left

   Argument

   Right

   arg(z) = tan⁻¹(y/x)