PreCalc Formula Flashcards
(23 cards)
1
Q
sinx
A
y/r
2
Q
cosx
A
x/r
3
Q
cscx
A
r/y
4
Q
secx
A
r/x
5
Q
Exponential Growth/Decay
A
P = Ao (1 +- r) ^t
6
Q
Soh
A
csc
7
Q
Cah
A
sec
8
Q
Toa
A
cot
9
Q
arcsinx
A
D: [-1,1]
R: [-pi/2, pi/2]
10
Q
arccosx
A
D:[-1,1]
R:[0, pi]
11
Q
arctanx
A
D:(-infinity, infinity)
R:(-pi/2, pi/2)
12
Q
logb m
A
log m / log b
13
Q
ln e
A
1
14
Q
Rate of Change Behavior
A
RoC is slope at point
Avg RoC of f(x) over [a,b] is:
f(b)-f(a) / b-a
RoC increase - concave up
RoC decrease - concave down
15
Q
sin(a+b)
A
sinacosb + cosasinb
16
Q
sin(a-b)
A
sinacosb-cosasinb
17
Q
tan(a+b)
A
tana + tanb / 1- tan(a)tan(b)
18
Q
tan(a-b)
A
tana - tanb / 1+ tan(a)tan(b)
19
Q
tan(2a)
A
2tana / 1- tan^2 a
20
Q
cos(2a)
A
1- 2sin^2a
2cos^2a -1
cos^2a - sin^2b
21
Q
r
A
sqrt(x^2 + b^2)
22
Q
Polar theta
tan theta
A
y/x
23
Q
Polar Form
A
a+ bi
rcosx + rsinx*i
