Trig Indentities

1/csc(x)

Sin

1/sin(x)

csc

1/sec(x)

cos

1/cos(x)

sec

1/cot(x)

tan

1/tan(x)

cot

Even identities?

cos

Odd Indentities?

Sin and tan

sin²x + cos²x =

1

tan²x + 1 =

sec²x

cot²x + 1 =

csc²x

sin(A + B)

sinAcosB + cosAsinB

Sin(A - B)

sinAcosB - cosAsinB

Cos (A + B)

cosAcosB - sinAsinB

Sin2x

2sinxcosx

Cos2x

cos²x - sin²x

cos2x (for sin)

1 - 2sin²x

cos2x (for cos)

2cos²x - 1

3-3cos²x

3sinx

1+tan²x

sec²x

1-sin²x

cos²x

1+cot²x

csc²x

cos²x-1

-sin²x

sec²x-tan²x

1

1-sin²x

cos²x

sin²x-1

-cos²x

Restricted domain of tan^-1(x)

(-pie/2, pie/2)

Restricted domain of sin^-1(x)

[-1,1]

Restricted domain of cos^-1(x)

[0, pie]

root 1/4

+- 1/2

root 1/2

+- root2/2

root 3/4

+- root3/2

root 1/3

+- root3/3

Forumla for x-cord of parabola

-b/2a

6x²-3x³ (even, odd, or nether?)

neither

what kind of reflection? -g(x)

x axis

what kind of reflection? g(-x)

y axis

what kind of reflection? af(x)

vertical

what kind of reflection? f(bx)

horizontal

where is vertical asymptote? f(x) = x+1/(x+1)²

x = -1

where is the hole? f(x) = (x+1)²/x+1

x = -1

where do you find the zeros of a rational function?

numerator

where do you find the VA of a rational function?

denominator

what is the HA when f(x) = x²+4x-11/x³+5x+9

y = 0

what is the HA when f(x) = 5x³-7x+1/x²-9

y = 1

what is the HA when f(x) = 4x³+7x/6x³-8x+3

y = 2/3

what is the shape of concave up?

U shape

what is the shape of concave down?

n shape

tan^1(root3/3)

pie/6

tan^-1(root3)

pie/3

tan^-1(1)

pie/4