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11.2a Geometric Representation of a Complex Number Write complex numbers in polar form.
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GEOMETRIC REPRESENTATION OF COMPLEX NUMBERS A Complex Number is in the form: z = a+bi We can graph complex numbers on the axis shown below: Real axis Imaginary Axis Argand Diagram
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ABSOLUTE VALUE OF A COMPLEX NUMBER An arrow is drawn from the origin to represent the complex number. The length of the arrow is the absolute value of the complex number.
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REPRESENTING COMPLEX NUMBERS USING RECTANGULAR VS. POLAR COORDINATES So, We abbreviate this as “cis”
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Complex Numbers Rectangular Form: Polar Form:
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Convert to Rectangular Formulas:
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Convert to Polar Form
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Absolute Value of a Complex Nubmer ( Magnitude) Same as a radius!!!!!
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Homework 11.2 P. 406 1-12 all
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11.2b Complex Numbers Expressing Products and Quotient’s of Complex Numbers in Polar and Rectangular Form.
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Operations with complex numbers
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Do you want to go thru that every time?
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Multiply:
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How do you think we can work with division?
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SUMMARY To convert a+bi to polar: To convert to rectangular: Formulas: Formulas:
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Homework Pg. 406, 17-21odd, 23, 24
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