Facts to memorize Flashcards
1
Q
x^2-y^2
A
(x+y)(x-y)
2
Q
x^3+y^3
A
(x+y)(x^2-xy+y^2)
3
Q
x^3-y^3
A
(x-y)(x^2+xy+y^2)
4
Q
(x+y)^2
A
x^2+2xy+y^2
5
Q
(x+y)^3
A
x^3+3x^2y+3xy^2+y^3
6
Q
quadratic formula
A
x=-b+/- (square root of)b^2-4ac / 2a
7
Q
area of a triangle
A
A=1/2BH
8
Q
Area of circle
A
PiR^2
9
Q
circumference of a circle
A
2PiR
10
Q
Volume of a sphere
A
V=4/3PiR^3
11
Q
Surface area of a shpere
A
4PiR^2
12
Q
Volume of a cylinder
A
PiR^2H
13
Q
Surface area of a cylinder
A
2PiRH+2PiR^2
14
Q
Volume of a cone
A
1/3PiR^2H
15
Q
formula for the slope
A
m=y2-y1/x2-x1
16
Q
point slope formula
A
y-y1=m(x-x1)
17
Q
sin^2(x)+cos^2(x)=
A
1
18
Q
sin(x)/cos(x)
A
tan(x)
19
Q
cos(x)/sin(x)
A
cot(x)
20
Q
1/cos(x)
A
sec(x)
21
Q
1/sin(x)
A
csc(x)
22
Q
sin(pi/6)
A
1/2
23
Q
sin(pi/4)
A
radical 2/2
24
Q
sin(pi/3)
A
radical 3/2
25
sin(pi/2)
1
26
sin(pi)
0
27
cos(pi/6)
radical 3/2
28
cos(pi/4)
radical 2/2
29
cos(pi/3)
1/2
30
cos(pi/2)
0
31
cos(pi)
1
32
sin(0)
0
33
cos(0)
1
34
graph of y=1/x
domain: -inf - 0, 0-inf. range: -inf - 0, 0-inf
35
graph of y=x^2
domain:-inf-inf, range:0-inf
36
graph of y=x^3
domain: -inf-inf, range: -inf-inf (up and down quads 1 and 3)
37
graph of y=e^x
domain: -inf-inf, range 0-inf (y intercept at 0,1)
38
graph of y=ln(x)
domain: 0-inf range: -inf-inf ( no y intercept, x intercept at 1,0)
39
graph of y=sin(x)
domain:-inf-inf range:-1-1, goes thorugh the origin
40
graph of y=cos(x)
domain -inf-inf, range: -1-1. goes through 0,1
41
x axis in the unit circle is
cos
42
y axis in the unit circle is
sin
43
whats pos and neg in 1st quad
all pos
44
whats pos and neg in second quad
cos neg, sin pos
45
wnats pos and neg in third quad
cos and sin neg
46
whats pos and whats neg in 4th quad
cos pos, sin neg
