Algebra II Reference Sheet (NGLS)

Algebra II Reference Sheet (NGLS)

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

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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

/ 1
End of Document
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