Pre-Calculus Mathematics 11 Formula Sheet
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1Pre-Calculus Mathematics 11 Formula Sheet
Arithmetic Sequences and Series
= t
+ (n − 1)d
= a + (n − 1)d
t
or
t
n
1
n
n
n
=
[2t
+ (n − 1)d]
=
[2a + (n − 1)d]
S
or
S
n
1
n
2
2
n
n
=
(t
+ t
)
=
(a + t
)
S
or
S
n
1
n
n
n
2
2
Geometric Sequences and Series
n − 1
n − 1
= t
= ar
t
r
or
t
n
1
n
(r
n
− 1)
t
n
− 1)
a(r
1
=
, r ≠ 1
=
, r ≠ 1
S
or
S
r − 1
r − 1
n
n
− t
− a
rt
rt
n
1
n
=
, r ≠ 1
=
, r ≠ 1
S
or
S
r − 1
r − 1
n
n
t
a
1
s =
s =
, –1 < r < 1
or
, –1 < r < 1
1 − r
1 − r
Trigonometry
sin x
a
b
c
tan x =
=
=
cos x
sin A
sin B
sin C
+ c
− a
2
2
2
b
2
= b
2
+ c
2
− 2bc cos A
cos A =
a
2bc
Linear Relations
y = mx + b
y − y
= m(x − x
)
Ax + By + C = 0
1
1
− y
y
2
1
m =
d =
(x
− x
)
2
+ (y
− y
)
2
− x
2
1
2
1
x
2
1
Quadratic Functions and Equations
2
− 4ac
–b ±
b
y = ax
2
+ bx + c
y = a(x − p)
2
+ q
x =
2a
Graphing Calculator
x: [x
y: [y
, x
, x
]
, y
, y
]
min
max
scl
min
max
scl
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