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Trig
Important Formulas and Unit Circle
35
Mathematics
Undergraduate 1
04/14/2009
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Term
Arc Length
 Definition
s=r(O)
Term
Area of a Sector
 Definition
A=(1/2)r^2^O
Term
Angular Speed
 Definition
w=O/t
Term
Linear Speed
 Definition
v=r(w)
Term
0*
 Definition
(1,0)
Term
30*
 Definition
(sqrt(3)/2,1/2)
Term
pi/6
 Definition
(sqrt(3)/2,1/2)
Term
45*
 Definition
(sqrt(2)/2,sqrt(2)/2)
Term
pi/4
 Definition
(sqrt(2)/2,sqrt(2)/2)
Term
60*
 Definition
(1/2,sqrt(3)/2)
Term
pi/3
 Definition
(1/2,sqrt(3)/2)
Term
90*
 Definition
(0,1)
Term
pi/2
 Definition
(0,1)
Term
120*
 Definition
(-1/2,sqrt(3)/2)
Term
2pi/3
 Definition
(-1/2,sqrt(3)/2)
Term
135*
 Definition
(-sqrt(2)/2,sqrt(2)/2)
Term
3pi/4
 Definition
(-sqrt(2)/2,sqrt(2)/2)
Term
150*
 Definition
(-sqrt(3)/2,1/2)
Term
5pi/6
 Definition
(-sqrt(3)/2,1/2)
Term
180*
 Definition
(-1,0)
Term
pi
 Definition
(-1,0)
Term
210*
 Definition
(-sqrt(3)/2,-1/2)
Term
7pi/6
 Definition
(-sqrt(3)/2,-1/2)
Term
225*
 Definition
(-sqrt(2)/2,-sqrt(2)/2)
Term
5pi/4
 Definition
(-sqrt(2)/2,-sqrt(2)/2)
Term
240*
 Definition
(-1/2,-sqrt(3)/2)
Term
4pi/3
 Definition
(-1/2,-sqrt(3)/2)
Term
270*
 Definition
(0,-1)
Term
3pi/2
 Definition
(0,-1)
Term
300*
 Definition
(1/2,-sqrt(3)/2)
Term
5pi/3
 Definition
(1/2,-sqrt(3)/2)
Term
315*
 Definition
(sqrt(2)/2,-sqrt(2)/2)
Term
7pi/4
 Definition
(sqrt(2)/2,-sqrt(2)/2)
Term
330*
 Definition
(sqrt(3)/2,-1/2)
Term
11pi/6
 Definition
(sqrt(3)/2,-1/2)
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