Algebra 2/trigonometry - Worksheet Page 23
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28Reference Sheet
Area of a Triangle
Law of Cosines
1
_
2
2
2
K
ab sin C
a
b
+ c
– 2bc cos A
2
Functions of the Sum of Two Angles
Functions of the Double Angle
sin (A + B)
sin A cos B + cos A sin B
sin 2A
2 sin A cos A
2
2
cos (A + B)
cos A cos B – sin A sin B
cos 2A
cos
A – sin
A
tan A + tan B
2
cos 2A
2 cos
A – 1
___________
tan (A + B)
1 – tan A tan B
2
cos 2A
1 – 2 sin
A
2 tan A
_______
Functions of the Difference of Two Angles
tan 2A
2
1 – tan
A
sin (A – B)
sin A cos B – cos A sin B
Functions of the Half Angle
cos (A – B)
cos A cos B + sin A sin B
_________
tan A – tan B
√
____________
1 – cos A
1
tan (A – B)
_______
_
sin
A
1 + tan A tan B
2
2
_________
Law of Sines
√
1 + cos A
1
_______
_
cos
A
a
b
c
____
____
____
2
2
_________
sin B
sin A
sin C
√
1 – cos A
1
_______
_
tan
A
2
1 + cos A
Sum of a Finite Arithmetic Series
n(a
+ a
)
1
n
_______
Sum of a Finite Geometric Series
S
n
2
n
a
(1 – r
)
1
_______
S
n
1 – r
Binomial Theorem
n
n
0
n–1
1
n–2
2
0
n
(a + b)
C
a
b
+
C
a
b
+
C
a
b
+ ... +
C
a
b
n
0
n
1
n
2
n
n
n
∑
n
n–r
r
(a + b)
C
a
b
n
r
r = 0
[23]
Algebra 2/Trigonometry – Jan. ’16
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