Facts to memorize Flashcards
x^2-y^2
(x+y)(x-y)
x^3+y^3
(x+y)(x^2-xy+y^2)
x^3-y^3
(x-y)(x^2+xy+y^2)
(x+y)^2
x^2+2xy+y^2
(x+y)^3
x^3+3x^2y+3xy^2+y^3
quadratic formula
x=-b+/- (square root of)b^2-4ac / 2a
area of a triangle
A=1/2BH
Area of circle
PiR^2
circumference of a circle
2PiR
Volume of a sphere
V=4/3PiR^3
Surface area of a shpere
4PiR^2
Volume of a cylinder
PiR^2H
Surface area of a cylinder
2PiRH+2PiR^2
Volume of a cone
1/3PiR^2H
formula for the slope
m=y2-y1/x2-x1
point slope formula
y-y1=m(x-x1)
sin^2(x)+cos^2(x)=
1
sin(x)/cos(x)
tan(x)
cos(x)/sin(x)
cot(x)
1/cos(x)
sec(x)
1/sin(x)
csc(x)
sin(pi/6)
1/2
sin(pi/4)
radical 2/2
sin(pi/3)
radical 3/2
sin(pi/2)
1
sin(pi)
0
cos(pi/6)
radical 3/2
cos(pi/4)
radical 2/2
cos(pi/3)
1/2
cos(pi/2)
0
cos(pi)
1
sin(0)
0
cos(0)
1
graph of y=1/x
domain: -inf - 0, 0-inf. range: -inf - 0, 0-inf
graph of y=x^2
domain:-inf-inf, range:0-inf
graph of y=x^3
domain: -inf-inf, range: -inf-inf (up and down quads 1 and 3)
graph of y=e^x
domain: -inf-inf, range 0-inf (y intercept at 0,1)
graph of y=ln(x)
domain: 0-inf range: -inf-inf ( no y intercept, x intercept at 1,0)
graph of y=sin(x)
domain:-inf-inf range:-1-1, goes thorugh the origin
graph of y=cos(x)
domain -inf-inf, range: -1-1. goes through 0,1
x axis in the unit circle is
cos
y axis in the unit circle is
sin
whats pos and neg in 1st quad
all pos
whats pos and neg in second quad
cos neg, sin pos
wnats pos and neg in third quad
cos and sin neg
whats pos and whats neg in 4th quad
cos pos, sin neg
