Facts to memorize

Question 1

x^2-y^2

Answer 1

(x+y)(x-y)

Question 2

x^3+y^3

Answer 2

(x+y)(x^2-xy+y^2)

Question 3

x^3-y^3

Answer 3

(x-y)(x^2+xy+y^2)

Question 4

(x+y)^2

Answer 4

x^2+2xy+y^2

Question 5

(x+y)^3

Answer 5

x^3+3x^2y+3xy^2+y^3

Question 6

quadratic formula

Answer 6

x=-b+/- (square root of)b^2-4ac / 2a

Question 7

area of a triangle

Answer 7

A=1/2BH

Question 8

Area of circle

Answer 8

PiR^2

Question 9

circumference of a circle

Answer 9

2PiR

Question 10

Volume of a sphere

Answer 10

V=4/3PiR^3

Question 11

Surface area of a shpere

Answer 11

4PiR^2

Question 12

Volume of a cylinder

Answer 12

PiR^2H

Question 13

Surface area of a cylinder

Answer 13

2PiRH+2PiR^2

Question 14

Volume of a cone

Answer 14

1/3PiR^2H

Question 15

formula for the slope

Answer 15

m=y2-y1/x2-x1

Question 16

point slope formula

Answer 16

y-y1=m(x-x1)

Question 17

sin^2(x)+cos^2(x)=

Answer 17

1

Question 18

sin(x)/cos(x)

Answer 18

tan(x)

Question 19

cos(x)/sin(x)

Answer 19

cot(x)

Question 20

1/cos(x)

Answer 20

sec(x)

Question 21

1/sin(x)

Answer 21

csc(x)

Question 22

sin(pi/6)

Answer 22

1/2

Question 23

sin(pi/4)

Answer 23

radical 2/2

Question 24

sin(pi/3)

Answer 24

radical 3/2

Question 25

sin(pi/2)

Answer 25

1

Question 26

sin(pi)

Answer 26

0

Question 27

cos(pi/6)

Answer 27

radical 3/2

Question 28

cos(pi/4)

Answer 28

radical 2/2

Question 29

cos(pi/3)

Answer 29

1/2

Question 30

cos(pi/2)

Answer 30

0

Question 31

cos(pi)

Answer 31

1

Question 32

sin(0)

Answer 32

0

Question 33

cos(0)

Answer 33

1

Question 34

graph of y=1/x

Answer 34

domain: -inf - 0, 0-inf. range: -inf - 0, 0-inf

Question 35

graph of y=x^2

Answer 35

domain:-inf-inf, range:0-inf

Question 36

graph of y=x^3

Answer 36

domain: -inf-inf, range: -inf-inf (up and down quads 1 and 3)

Question 37

graph of y=e^x

Answer 37

domain: -inf-inf, range 0-inf (y intercept at 0,1)

Question 38

graph of y=ln(x)

Answer 38

domain: 0-inf range: -inf-inf ( no y intercept, x intercept at 1,0)

Question 39

graph of y=sin(x)

Answer 39

domain:-inf-inf range:-1-1, goes thorugh the origin

Question 40

graph of y=cos(x)

Answer 40

domain -inf-inf, range: -1-1. goes through 0,1

Question 41

x axis in the unit circle is

Answer 41

cos

Question 42

y axis in the unit circle is

Answer 42

sin

Question 43

whats pos and neg in 1st quad

Answer 43

all pos

Question 44

whats pos and neg in second quad

Answer 44

cos neg, sin pos

Question 45

wnats pos and neg in third quad

Answer 45

cos and sin neg

Question 46

whats pos and whats neg in 4th quad

Answer 46

cos pos, sin neg