Lesson: Operations on Complex Numbers in Polar Form Mathematics • 12th Grade

Students will be able to

• understand that multiplication and division of complex numbers are often simpler in polar form than Cartesian (algebraic) form,
• understand the effect of multiplication and division on the argument and moduli of complex numbers,
• multiply and divide two (or more) complex numbers in polar form,
• multiply and divide two (or more) complex numbers in polar form and express the result in algebraic form,
• Extend the knowledge of multiplication and division of complex numbers in polar form to evaluate simple exponents, such as reciprocals, squares, and cubes.