The Algebra II Reference Sheet (NGLS) provides essential formulas for the New York State Regents exam, covering quadratic formulas, conic sections, sequences/series, and trigonometric identities. It enables solving problems involving exponential growth, logarithmic
Algebra II Reference Sheet (NGLS)
Quadratic
Formula
2
b−± b − 4ac
x =
2a
Trigonometric
Identities
2 2
sin
()
θ + cos
()
θ = 1
()
sin θ
()
cos θ
()
tan θ =
()
cot θ =
()
cos θ
()
sin θ
1 1
()
csc θ =
()
sec θ =
()
sin θ
()
cos θ
Cubic
Factorizations
3 3 2 2
a + b =
(
+
)
(
a b a − ab b +
)
3 3 2 2
a − b =
(
−
)
(
ab a + abb+
)
Probability
(
PA B
)
=
( )
PA +
( )
PB −
(
PA B
)
(
PA B
)
(
PAB
)
=
()
PB
Independence
(
PA B
)
=
() ()
PA PB
(
PAB
)
=
()
PA
Arithmetic
Sequence
a = a +
(
dn − 1
)
n
1
Arithmetic
Series
(
na+ a
1
n
)
S =
n
2
Geometric
Sequence
n−
1
a = a r
n
1
Geometric
Series
n
a
(
1− r
)
1
S = , r ≠ 1
n
1− r
n
k −
1
S = a r
,
r ≠
1
n
1
k =
1
Exponential
Growth and
Decay
nt
r
AP= 1
+
n
AP
rt
= e
t
1
h
AA
=
2
0
