precalc unit 6 formulas

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height of a triangle

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21 Terms

1

height of a triangle

h/b=sinA OR h=bsinA

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2

area of an oblique triangle

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3

law of cosines

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4

heron’s area formula

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5

standard formula for area of a triangle

1/2bh

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6

component form of a vector

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7

magnitude/length of a vector

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8

u + v = (u1 + v1, u2 + v2)

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9

scalar multiple formula

ku = k(u1, u2) = (ku1, ku2)

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10

dot product

u * v = u1v1 + u2v2

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11

complex number z

z = a + bi

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12

absolute value of a complex number (z)

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13

distance between complex numbers (z1 & z2)

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14

midpoint between complex numbers

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15

trig form of complex number z

z = r(cosθ + isinθ) OR rcisθ

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16

product of 2 complex numbers

r1r2[cos(θ1 + θ2) + isin (θ1 + θ2)]

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17

quotient of 2 complex numbers

r1/r2[cos(θ1 - θ2) + isin(θ1 - θ2)]

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18

demoivre’s theorem

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19

nth powers of a complex number

(a + bi)^n

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20

nth roots of a complex number

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21

complex number from a trig form

when z = a +bi, r = √a² + b², θ = arctan(b/a)

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