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PRE-CALCULUS HONORS
PRE-CALC: 4.2: TRIG FUNCTIONS:
THE UNIT CIRCLE
SIX TRIGONOMETRIC FUNCTIONS
• Sine (sin)
• Cosine (cos)
• Tangent (tan)
• Cosecant (csc)
• Secant (sec)
• Cotangent (cot)
UNIT CIRCLE
• Let the radius = 1.
• Find the (x, y)
coordinates using
special right
triangle ratios for
45-45-90.
UNIT CIRCLE
• Let the radius = 1.
• Find the (x, y)
coordinates using
special right
triangle ratios for
30-60-90.
UNIT CIRCLE: FOR EACH POINT ON THE UNIT
CIRCLE LABEL THE ORDERED PAIR (COS, SIN)
AND THE ANGLE IN DEGREES AND RADIANS.
TRIG FUNCTIONS: UNIT CIRCLE
sin 
tan  
cos 
cos 
cot  
sin 
1
sec  
cos 
(reciprocal of cosine)
1
csc  
sin 
(reciprocal of sine)
UNIT CIRCLE WORKSHEET
1.
2.
3.
4.
5.
6.
7.
8.
radians
0

6

4

3

2
2
3
3
4
5
6
degrees
cos
sin 
tan 
sec
csc
cot 
UNIT CIRCLE WORKSHEET
radians
9.

10.
7
6
5
4
4
3
3
2
5
3
7
4
11
6
2
11.
12.
13.
14.
15.
16.
17.
degrees
cos
sin 
tan 
sec
csc
cot 
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