Complex Numbers and De Moivre Quiz Maker - Random High School Mathematics Questions

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Complex Numbers De Moivre Wheel

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Imaginary Unit: i
i squared = -1
i cubed = -i
i to the 4th = 1
Standard Form: a + bi
Complex Conjugate (a - bi)
Absolute Value (Modulus)
Argand Diagram (Graphing)
Addition of Complex Numbers
Subtraction of Complex Numbers
Multiplication (FOIL)
Division (Rationalizing denominator)
Polar Form: r(cos theta + i sin theta)
CIS notation (r cis theta)
Euler's Formula: e^(i theta)
Conversion: Rectangular to Polar
Conversion: Polar to Rectangular
Multiplication in Polar Form
Division in Polar Form
De Moivre's Theorem (Powers)
De Moivre's Theorem (Roots)
nth Roots of Unity
Root of a Complex Number
Product Rule: r1r2 cis(theta1+theta2)
Quotient Rule: r1/r2 cis(theta1-theta2)
The unit circle in complex plane
Rotate by 90 degrees (multiply by i)
Real Part (Re)
Imaginary Part (Im)
Solving: x^2 + 1 = 0
Fundamental Theorem of Algebra link
Fractals (Mandelbrot link)
AC Circuit analysis link
Vector relationship
Phase angle
Magnitude calculation
Simplify: i^101
Simplify: (2+3i)(2-3i)
Simplify: 1/i
Rectangular vs Polar utility

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