Angles and Radians of a Unit Circle - University of Notre Dame
[Pages:1]Angles and Radians of a Unit Circle
Positive: sin, csc Negative: cos, tan, sec, cot
3 / 4
(- 2 / 2,
5 / 6
( ) - 3 / 2, 1/ 2
2 / 3
( ) -1/ 2, 3 / 2
2 /2)
120!
135!
(-, +)
150!
II
Positive: sin, cos, tan, csc, sec, tan
Negative: none (0,1)
tan 90! = undefined
/2
/3
90!
(+, +)
( ) 1/ 2, 3 / 2 tan 60! = 3
60!
/4
( ) 2 / 2, 2 / 2
45!
tan 45! = 1
/6
I
30!
( ) 3 / 2, 1/ 2 tan 30! = 3
3
(-1,0)
180!
tan 0! = 0
0! 2 360!
(1,0)
7 / 6
210!
III IV
( ) - 3 / 2, -1/ 2
225!
(-, -) (+, -)
5 / 4
( ) - 2 / 2, - 2 / 2 240! 4 / 3
270!
( ) -1/ 2, - 3 / 2
330! 315!
11 / 6
( ) 3 / 2, -1/ 2
300! 5 / 3
7 / 4
( ) 2 / 2, - 2 / 2
( ) 1/ 2, - 3 / 2
Positive: tan, cot Negative: sin, cos, csc, sec
(0,-1)
3 2
Positive: cos, sec Negative: tan, cot, sin, csc
Courtesy of Randal Holt. Original Source Unknown.
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