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Mathematics 30-1 Formula Sheet
Trigonometry
For ax + bx + c = 0,
x=
2
-b±
<Jb -4ac
~
2a
6 = ^
Graphing Calculator Window Format
x
sinfl
cos 9
tan# =
Relations and Functions
= log M + \og N
h
n
=
2
2
2
l + tan # = sec #
h
h
b
1
tan#
2
log (~~) = \og M - log iV
\og {M )
1
cos 6
sin # + cos 6> = l
Laws of Logarithms
h
sec 9 —
sin#
cot0 =
h
1
esc 9 —
- t^min' -*Tnax> -^scJ
log (MxN)
smO
2
2
l + cot <9 = csc #
6
sin(flf + /S) = sin a cos/3 + cos a sin/8
n\og M
b
log c
^og b
sin(<2 — P) = sin <2 cosyS — cos a sin/8
a
a
cos(<2 + /?) = cos
Growth/Decay
cos /? - sin g sin/3
Formula
cos(# — &) = cos g cos /? + sin <2 shi/8
±_
p
y=ab
tan(g + /?) =
tang + tan/8
1 - tang tan/8
tan(g - /S) =
tang — tan/?
1 + t a n g tan/3
Gen eral Fom of a Transformed Function
y = af[b{x - h)} + k
sin(2g) = 2sing cosg
Permutations, Combinations, and
the Binomial Theorem
2
2
cos(2g) = cos g - sin g
n! = « ( n . - l ) ( « - 2 ) . . . 3 x 2 x l ,
where « e TV and 0! = 1
cos(2g) = 2 c o s ^ g - l
2
n
p =
r
cos(2g) = l - 2 s i n g
n l
(n-r)!
,
.
2 tang
tan(2g) = ^ / 0
n C r
= -
n l
A
r
(n - r)\r\
1 - tan~g
In the expansion of (x + y f ,
the general term is t + - C x""
k
x
n
k
y = a sin [b(x — c)\ + d
k
k
y.
y — a cos
11
— c)\ + d
