Ch 8 AP Precalc Quiz

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12 Terms

1
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x

=rcosĎ´

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y

=rsinĎ´

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rectangular

z=a+bi

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polar

z=r(cosĎ´+isinĎ´) OR rcisĎ´

5
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multiplication of polar comp #’s

z1z2= r1r2cis(Ď´1+Ď´2)

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division of polar comp #’s

z1/z2= r1/r2cis(Ď´1-Ď´2)

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DeMoivre’s Th

z^n= r^n*cis(nĎ´)

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nth roots of comp #’s

wk= r^1/n*cis(Ď´+2pik/n)

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sin2x

2sinxcosx

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cos2x

2cos²x-1, 1-2sin²x, cos²x-sin²x

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ellipse

x²/a²+y²/b²=c²

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hyperbola

x²/a²-y²/b²=c²