Math Review Flashcards

1
Q

Sin

A

opp/hyp

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2
Q

Cos

A

adj/hyp

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3
Q

Tan

A

opp/Adj

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4
Q

Tan@=

A

sin@/cos@

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5
Q

Cot@=

A

1/Tan@ = Cos@/Sin@

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6
Q

Sec@ =

A

1/Cos@

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7
Q

Csc@ =

A

1/Sin@

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8
Q

Sin^2@ + Cos^2@ =

A

1

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9
Q

1 + Tan^2@ =

A

Sec^2@

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10
Q

1+Cot^2@ =

A

Csc^2@

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11
Q

Amplitude

A

/a/

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12
Q

Period

A

2 (Pi) / b

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13
Q

Sin2x =

A

2 sinx cosx

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14
Q

Cos2x =

A

cos^2x - sin^2x = 2cos^2x-1 = 1-2cos^2x

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15
Q

Law of Sines

A

a / sin a = b / sin b = c / sinc

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16
Q

Law of Cosines

A

a^2 = b^2 + C^2 - 2bcCosA

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17
Q

Area

A

1/2 bc SinA = 1/2 abSinC =1/2 acSinB

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18
Q

Herons Formula

A

Area = SqRt of (s (s-a) (s-b) (s-c) Where s= (a+b+c)/2

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21
Q

//U// =

A

SqRt (U1 ^2 + U2 ^2

22
Q

U, V orthognal if?

23
Q

U*V=

A

U1 V1+ U2 V2

24
Q

Cos@ =

A

U*V / \u\ x \v\

25
Arithmetic Sequence
a1, a1+d, a1+2d,...
26
a(n) =
a1 + (n-1)d where d is the common difference
27
Asymptotes
y=K +- "y"/"x" (x-h)
28
y= (Polar Form)
r cos @
29
x= (Polar Form)
r sin @
30
r^2=
x^2 + Y^2
31
r= (Polare Form)
/z/
32
Amplitude is
The height of the wave
33
Period is
The length of a wave....3pi/2, 2pi, 4pi, etc...
34
sin@/cos@
Tan@=
35
1/ tan@ =
Cot@
36
1/ tan@ =
Cos@/Sin@
37
Cos@/Sin@ =
1/ tan@ = cot@
38
1/ cos@ =
Sec@
39
1/ sin@ =
Csc@
40
1 =
sin^2@ + cos^2@
41
sec^2@ =
1 +tan^2@
42
csc^2@ =
1 +cot^2@
43
/a/
Amplitude
44
2 (pi) / b
Period
45
2sinx cosx
sin2x
46
cos^2x - sin^2x
Cos2x = 2cos^2x-1 = 1-2sin^2x
47
1/2 bc SinA
Area of triangle