Download Math 20-1 Formula Sheet

Math 20-1 Formula Sheet
Quadratic Functions and Equations
Algebra and Number
Function (expanded form)
y  ax 2  bx  c
Function (vertex form)
y  a  x  p  q
Equation and Quadratic Formula
For ax 2  bx  c = 0
Absolute Value
2
x
 x if x  0
x 
 x if x  0
b  b2  4ac
2a
Relations and Functions
Arithmetic Sequence: General term
tn  t1   n  1 d
Arithmetic Series
n
 2t1   n  1 d 
2
n
Sn  t1  tn 
2
tn  t1  r n 1
Sn 
Arithmetic Series: Alternate Formula
Geometric Sequence: General term
Geometric Series
Sn 
Geometric Series: Alternate formula
Infinite Geometric Series
t1  r n  1
, r 1
r 1
r  tn  t1
Sn 
, r 1
r 1
t
S  1 , r  1
1 r
Trigonometry
For the rotation angle  shown:
r
y
x
cos  
r
r
2
2
2
x y r
sin  
y
tan  

x
For the oblique triangle ABC shown:
A
Sine Law:
a
b
c


sin A sin B sin C
b
a 2  b 2  c 2  2bc cos A
c
Cosine Law:
B
or
C
a
cos A 
b2  c2  a 2
2bc
y
x