Fill in the blank/s: To convert a complex number from rectangular form, z = a + bi, to polar form, z = r(cos θ + i sin θ), we use the relationships r = _______ and tan θ = _________ , noting the quadrant in which the graph of z lies.

Fill in the blank/s: To convert a complex number from rectangular form, z = a + bi, to polar form, z = r(cos θ + i sin θ), we use the relationships r = _ and tan θ = ___ , noting the quadrant in which the graph of z lies.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Complex Numbers

Section4.4: Trigonometric Form Of A Complex Number

Problem 1E

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Question

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

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