Complex Number to Rectangular Form Calculator

Convert polar form r∠θ into a + bi.

Real part a 1

Imaginary part b (i) 1.732

Formula: a = r·cos θ, b = r·sin θ

Step-by-step with your numbers:

1. Values used:

2. Magnitude r = 2

3. Angle θ = 60 °

5. Real part a = 1

6. Imaginary part b = 1.732i

Did we solve your problem today?

Rectangular form expresses a complex number as a real part plus an imaginary part.

The math behind it

From polar r∠θ: a = r·cos θ and b = r·sin θ, giving a + bi.

2∠60° → 1 + 1.732i.

When is rectangular form better?

For addition and subtraction of complex numbers.