Math Review Chapter 9

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9 Terms

1
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what is the distance formula for polar coordinates

d = sqrt(r1²+r2²-2r1r2cos(theta2-theta1))

2
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Polar system coordinate definition

A coordinate plane using an angle of rotation from the polar axis and then a distance r at that angle from the pole.

3
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Polar to rectangular

x = rcos(theta) y = rsin(theta)

4
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rectangular to polar

r = sqrt(x² + y²) tan(theta) = y/x

5
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Eccentricities of conics

e = pf/pq

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PF

distance from point to the focus

7
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PQ

distance from point to the directrix

8
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magnitude

sqrt(a²+b²)

9
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polar form of a complex number

z = r(cos(theta) + isin(theta))