Precalc

Question 1

1 + cot(x)^2

Answer 1

csc(x)^2

Question 2

sin(30)

Answer 2

1/2

Question 3

An = A1 + (n - 1)d

Answer 3

Arithmetic

Question 4

cos(45)

Answer 4

sqrt(2)/2

Question 5

sin(a +|- b)

Answer 5

sin(a)cos(b) +|- cos(a)sin(b)

Question 6

Arithmetic sequence

Answer 6

An = A1 + (n - 1)d

Question 7

tan^-1(y/x)

Answer 7

t

Question 8

csc(x)^2 - cot(x)^2

Answer 8

1

Question 9

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

Answer 9

1

Question 10

Parabola

Answer 10

(x - h)^2 = 4p(y -k)

y - k)^2 = 4p(x - h

Question 11

[(x - h)^2 / a^2] - [(y - k)^2 / b^2]

Answer 11

Hyperbola

w/ direction up and down (x - y)

Question 12

Hyperbola

Answer 12

[(x - h)^2 / a^2] - [(y - k)^2 / b^2]

[(y - k)^2 / a^2] - [(x - h)^2 / b^2]

Question 13

(y - k)^2 = 4p(x - h)

Answer 13

Parabola

w/ direction left and right

Question 14

Focus of ellipse

Answer 14

h +|- c , k

Where h,k is the center
Where c = sqrt(a^2 - b^2)

Question 15

c = sqrt(a^2 + b^2)

Answer 15

Distance from center to focus for hyperbola

Question 16

Polar coordinates

r , theta[t]

Answer 16

r = sqrt(x^2 + y^2)

t = tan^-1(y/x)

Question 17

sin(x/2)

Answer 17

+|- sqrt[(1 - cos(x)) / 2]

Question 18

cos(a)cos(b) -|+ sin(a)sin(b)

Answer 18

cos(a +|- b)

Question 19

r sin(t)

Answer 19

y

Question 20

[(x - h)^2 / a^2] + [(y - k)^2 / b^2]

Answer 20

ellipse

Question 21

Focus of parabola

Answer 21

h , k + p

h + p , k

Where h,k is the vertex

Question 22

nOr = n! / (r! (n - r)!)

Answer 22

Combinations

Question 23

Law of sine

Answer 23

A/sin(a) = B/sin(b) = C/sin(c)

Question 24

sin(45)

Answer 24

sqrt(2)/2

Question 25

sec(x)^2 - tan(x)^2

Answer 25

1

Question 26

sec(x)^2 - 1

Answer 26

tan(x)^2

Question 27

Ellipse

Answer 27

[(x - h)^2 / a^2] + [(y - k)^2 / b^2]

Question 28

[(y - k)^2 / a^2] - [(x - h)^2 / b^2]

Answer 28

Hyperbola | w/ direction left and right (y - x)

Question 29

cos(2a)

Answer 29

cos(a)^2 - sin(a)^2

Question 30

Focal width of parabola

Answer 30

4p

Question 31

cos(a)^2 - sin(a)^2

Answer 31

cos(2a)

Question 32

tan(2a)

Answer 32

(2tan(a)) / (1 - tan(a)^2)

Question 33

B^2 - 4AC > 0

Answer 33

Hyperbola

Question 34

[A1(1 - r^n)] / (1 - r)

Answer 34

Geometric sum

Question 35

B^2 - 4AC < 0

Answer 35

Ellipse

Question 36

Directrix of parabola

Answer 36

h , k - p h - p , k Where h,k is the vertex

Question 37

B^2 - 4AC = 0

Answer 37

Parabola

Question 38

sin(2a)

Answer 38

2(sin(a)cos(a))

Question 39

(x - h)^2 = 4p(y -k)

Answer 39

Parabola | w/ direction up and down

Question 40

cos(x/2)

Answer 40

+|- sqrt[(1 + cos(x)) / 2]

Question 41

Vertex of ellipse

Answer 41

h +|- a , k h , k +|- a Where h, k is the center

Question 42

Vertex of hyperbola

Answer 42

h +|- a , k h , k +|- a Where h,k is the center

Question 43

Geometric sum

Answer 43

[A1(1 - r^n)] / (1 - r)

Question 44

Half angle identities

Answer 44

sin(x/2) = +|- sqrt[(1 - cos(x)) / 2] cos(x/2) = +|- sqrt[(1 + cos(x)) / 2] tan(x/2) = +|- sqrt[(1 - cos(x)) / (1 + cos(x)]

Question 45

Sum and Difference formula

Answer 45

sin(a +|- b) = sin(a)cos(b) +|- cos(a)sin(b) cos(a +|- b) = cos(a)cos(b) -|+ sin(a)sin(b) tan(a +|- b) = (tan(a) +|- tan(b)) / (1 -|+ tan(a)tan(b))

Question 46

tan(x/2)

Answer 46

+|- sqrt[(1 - cos(x)) / (1 + cos(x))]

Question 47

nOr = n! / (n - r)!

Answer 47

Permutation

Question 48

Rectangular coordinates | x , y

Answer 48

r cos(t) = x r sin(t) = y

Question 49

+|- sqrt[(1 - cos(x)) / (1 + cos(x)]

Answer 49

tan(x/2)

Question 50

Law of cosine

Answer 50

C^2 = A^2 + C^2 - 2AB cos(x)

Question 51

cos(a +|- b)

Answer 51

cos(a)cos(b) -|+ sin(a)sin(b)

Question 52

(tan(a) +|- tan(b)) / (1 -|+ tan(a)tan(b))

Answer 52

tan(a +|- b)

Question 53

2(sin(a)cos(a))

Answer 53

sin(2a)

Question 54

cos(30)

Answer 54

Sqrt(3)/2

Question 55

1 - sin(x)^2

Answer 55

cos(x)^2

Question 56

sqrt(x^2 + y^2)

Answer 56

r

Question 57

n/2[2 A1 + (n - 1)d]

Answer 57

Arithmetic sum

Question 58

(2tan(a)) / (1 - tan(a)^2)

Answer 58

tan(2a)

Question 59

sin(a)cos(b) +|- cos(a)sin(b)

Answer 59

sin(a +|- b)

Question 60

Height and width of ellipse

Answer 60

2a by 2b

Question 61

r cos(t)

Answer 61

x

Question 62

Permutation

Answer 62

Order matters | nPr = n! / (n - r)!

Question 63

c = sqrt(a^2 - b^2)

Answer 63

Distance from center to focus for ellipse

Question 64

Focus of hyperbola

Answer 64

h +|- c , k h, k +|- c Where h,k is the center Where c = sqrt(a^2 + b^2)

Question 65

tan(x)^2 + 1

Answer 65

sec(x)^2

Question 66

Probability using binomial theorem

Answer 66

Probability of an event happening some amount out of total times. P = (n r) K^r(1 - k)^n-r Where r = out of total times, amount of occurrence Where K = probability of outcomes Where (1 - k) = probability of negative outcomes

Question 67

tan(a +|- b)

Answer 67

(tan(a) +|- tan(b)) / (1 -|+ tan(a)tan(b))

Question 68

Comic sections - hyperbola - ellipse - parabola

Answer 68

Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0 B^2 - 4AC > 0 => hyperbola < 0 => ellipse = 0 => parabola

Question 69

+|- sqrt[(1 - cos(x)) / 2]

Answer 69

sin(x/2)

Question 70

cos(60)

Answer 70

1/2

Question 71

Pythagorean identities

Answer 71

sin(x)^2 + cos(x)^2 = 1 tan(x)^2 + 1 = sec(x)^2 1 + cot(x)^2 = csc(x)^2

Question 72

Binomial theorem

Answer 72

(x + y)^n | = (n 0) x^n y^0 + (n 1) x^n-1 y^1 + (n r) x^n-r y^r +... (n n) x^0 y^n

Question 73

+|- sqrt[(1 + cos(x)) / 2]

Answer 73

cos(x/2)

Question 74

Combination

Answer 74

Order doesn't matter | nCr = n! / (r! (n - r)!)

Question 75

1 - cos(x)^2

Answer 75

sin(x)^2

Question 76

csc(x)^2 - 1

Answer 76

Cot(x)^2

Question 77

sin(60)

Answer 77

sqrt(3)/2

Question 78

An = A1 r^n-1

Answer 78

Geometric

Question 79

Arithmetic sum

Answer 79

n/2[2 A1 + (n - 1)d]

Question 80

Geometric sequence

Answer 80

An = A1 r^n-1