Math Review Flashcards
1
Q
Sin
A
opp/hyp
2
Q
Cos
A
adj/hyp
3
Q
Tan
A
opp/Adj
4
Q
Tan@=
A
sin@/cos@
5
Q
Cot@=
A
1/Tan@ = Cos@/Sin@
6
Q
Sec@ =
A
1/Cos@
7
Q
Csc@ =
A
1/Sin@
8
Q
Sin^2@ + Cos^2@ =
A
1
9
Q
1 + Tan^2@ =
A
Sec^2@
10
Q
1+Cot^2@ =
A
Csc^2@
11
Q
Amplitude
A
/a/
12
Q
Period
A
2 (Pi) / b
13
Q
Sin2x =
A
2 sinx cosx
14
Q
Cos2x =
A
cos^2x - sin^2x = 2cos^2x-1 = 1-2cos^2x
15
Q
Law of Sines
A
a / sin a = b / sin b = c / sinc
16
Q
Law of Cosines
A
a^2 = b^2 + C^2 - 2bcCosA
17
Q
Area
A
1/2 bc SinA = 1/2 abSinC =1/2 acSinB
18
Q
Herons Formula
A
Area = SqRt of (s (s-a) (s-b) (s-c) Where s= (a+b+c)/2
19
Q
U =
A
20
Q
V =
A
21
Q
//U// =
A
SqRt (U1 ^2 + U2 ^2
22
Q
U, V orthognal if?
A
U*V=0
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