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Pre-Calculus
PHA Complex Numbers Quiz
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Pre-Calculus
10th
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Last updated 10:54 PM on 1/22/23
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8 Terms
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1
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multiplying cis things
r\*s(cis(sum of angles))
2
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dividing cis things
r/s(cis(difference of angles))
3
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r(cis(theta)) =
re^(i\*theta)
4
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ln -1
= e^(i(pi+2pi\*n)
5
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rectangular form of complex number
a+bi
6
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polar form of complex number
r cis theta
7
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powers of complex numbers
r^n (cis (n(angle))
\
n is power
8
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roots of complex numbers
r^(1/n) cis (theta/n + k\*360degrees/n)
\
solve the equation for each of the numbers greater than or equal to zero that k could be (k=n-1)