Unit Circle
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Sinθ = y Cosθ = x Sinθ Tanθ = Cosθ
3
y
(x,y) ( Cosθ , Sinθ ) Undefined
πc/2 (0 , 1) 2πc/3 (-1/2 , 3/2) 3πc/4 (- 2/2 , 2/2)
1
90°
πc/3 (1/2 , 3/2) 60°
120°
πc/4 ( 2/2 , 2/2) 45°
135°
3 3
5πc/6
(- 3/2 , 1/2)
πc/6 ( 3/2 , 1/2) 30°
150°
Sin+
All+
πc (-1 , 0)
2πc (1 , 0) 0 180°
0°, 360°
Tan+ 7πc/6 (- 3/2 , -1/2) 5πc/4
11πc/6 ( 3/2 , -1/2) 330°
210°
(- 2/2 , - 2/2)
Cos+
3
7πc/4 ( 2/2 , - 2/2) 315°
225° 240°
-
3
5πc/3 (1/2 , - 3/2) 300°
4πc/3 (-1/2 , - 3/2) 270°
-1
3πc/2 (0 , -1) Undefined
- 3
x
3
y
(x,y) ( Cosθ , Sinθ ) Undefined
πc/2 (0 , 1) 2πc/3 (-1/2 , 3/2) 3πc/4 (- 2/2 , 2/2)
1
90°
πc/3 (1/2 , 3/2) 60°
120°
πc/4 ( 2/2 , 2/2) 45°
135°
3 3
5πc/6
(- 3/2 , 1/2)
πc/6 ( 3/2 , 1/2) 30°
150°
Sin+
All+
πc (-1 , 0)
2πc (1 , 0) 0 180°
0°, 360°
Tan+ 7πc/6 (- 3/2 , -1/2) 5πc/4
11πc/6 ( 3/2 , -1/2) 330°
210°
(- 2/2 , - 2/2)
Cos+
3
7πc/4 ( 2/2 , - 2/2) 315°
225° 240°
-
3
5πc/3 (1/2 , - 3/2) 300°
4πc/3 (-1/2 , - 3/2) 270°
-1
3πc/2 (0 , -1) Undefined
- 3
x
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