Regents High School Examination - Mathematics B Worksheet - The University Of The State Of New York, 2004 Page 23
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28Formulas
Area of 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
2
cos 2A = 2 cos
A – 1
2
cos 2A = 1 – 2 sin
A
Functions of the Difference of Two Angles
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
1
– cos
A
1
Law of Sines
= ±
s
in
A
2
2
a
b
c
=
=
+
1
1
cos
A
sin
A
sin
B
sin
C
= ±
cos
A
2
2
Normal Curve
Standard Deviation
19.1%
19.1%
15.0%
15.0%
9.2%
9.2%
0.1%
0.5%
4.4%
4.4%
0.5%
0.1%
1.7%
1.7%
–3
–2.5
–2
–1.5
–1
–0.5
0
0.5
1
1.5
2
2.5
3
[23]
Math. B – Aug. ’04
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