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Name: ___ Date: ___ Teacher: ___ Modulus in the Complex Plane Web resource: http://openlearn.open.ac.uk/mod/oucontent/view.php?id398400§ion2.5 Given a complex number z a + bi, the modulus |z|
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How to fill out form modulus and argument
How to fill out form modulus and argument
01
Realize that the modulus is the distance the number is from the origin on the complex plane.
02
Identify the real and imaginary parts of the complex number.
03
Use the Pythagorean theorem to find the modulus: modulus = sqrt(real^2 + imaginary^2)
04
Calculate the argument using the arctangent function: argument = arctan(imaginary/real)
Who needs form modulus and argument?
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Students studying complex numbers in mathematics or physics.
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Engineers working with signal processing or control systems.
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Scientists analyzing wave behavior or quantum mechanics.
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