Unlock the power of complex number conversions! Our user-friendly calculator effortlessly transforms complex numbers from their polar form (magnitude and angle) into the familiar rectangular form (x + yi). Ideal for students and engineers, this tool simplifies complex number arithmetic and visualization. Input 'r' and 'θ' to get 'x' and 'y' instantly!
Formula:
A complex number in polar form is typically represented as r(cos θ + i sin θ), where r is the magnitude (modulus) and θ is the angle (argument).
To convert this to rectangular form (x + yi), we use the following formulas:
- x = r cos θ
- y = r sin θ
Where r is the magnitude and θ is the angle in radians (our calculator handles degrees internally).