Unit Circle Trig Functions

Chapter 7 Honors Precalc

sin (0°) & sin (360°) & sin (0) & sin (2π)

0

sin (30°) & sin (π/6)

1/2

sin (45°) & sin (π/4)

√2/2

sin (60°) & sin (π/3)

√3/2

sin (90°) & sin (π/2)

1

sin (120°) & sin (2π/3)

√3/2

sin (135°) & sin (3π/4)

√2/2

sin (150°) & sin (5π/6)

1/2

sin (180°) & sin (π)

0

sin (210°) & sin (7π/6)

-1/2

sin (225°) & sin (5π/4)

-√2/2

sin (240°) & sin (4π/3)

-√3/2

sin (270°) & sin (3π/2)

-1

sin (300)° & sin (5π/3)

-√3/2

sin (315°) & sin (7π/4)

-√2/2

sin (330°) & sin (11π/6)

-1/2

cos (0°) & cos (360°) & cos (0) & cos (2π)

1

cos (30°) & cos (π/6)

√3/2

cos (45°) & cos (π/4)

√2/2

cos (60°) & cos (π/3)

1/2

cos (90°) & cos (π/2)

0

cos (120°) & cos (2π/3)

-1/2

cos (135°) & cos (3π/4)

-√2/2

cos (150°) & cos (5π/6)

-√3/2

cos (180°) & cos (π)

-1

cos (210°) & cos (7π/6)

-√3/2

cos (225°) & cos (5π/4)

-√2/2

cos (240°) & cos (4π/3)

-1/2

cos (270°) & cos (3π/2)

0

cos (300°) & cos (5π/3)

1/2

cos (315°) & cos (7π/4)

√2/2

cos (330°) & cos (11π/6)

√3/2

tan (0°) & tan (360°) & tan (0) & tan (2π)

0

tan (30°) & tan (π/6)

√3/3

tan (45°) & tan (π/4)

1

tan (60°) & tan (π/3)

√3

tan (90°) & tan (π/2)

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tan (120°) & tan (2π/3)

-√3

tan (135°) & tan (3π/4)

-1

tan (150°) & tan (5π/6)

-√3/3

tan (180°) & tan (π)

0

tan (210°) & tan (7π/6)

√3/3

tan (225°) & tan (5π/4)

1

tan (240°) & tan (4π/3)

√3

tan (270°) & tan (3π/2)

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tan (300°) & tan (5π/3)

-√3

tan (315°) & tan (7π/4)

-1

tan (330°) & tan (11π/6)

-√3/3

csc (0°) & csc (360°) & csc (0) & csc (2π)

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csc (30°) & csc (π/6)

2

csc (45°) & csc (π/4)

√2

csc (60°) & csc (π/3)

2√3/3

csc (90°) & csc (π/2)

1

csc (120°) & csc (2π/3)

2√3/3

csc (135°) & csc (3π/4)

√2

csc (150°) & csc (5π/6)

2

csc (180°) & csc (π)

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csc (210°) & csc (7π/6)

-2

csc (225°) & csc (5π/4)

-√2

csc (240°) & csc (4π/3)

-2√3/3

csc (270°) & csc (3π/2)

-1

csc (300°) & csc (5π/3)

-2√3/3

csc (315°) & csc (7π/4)

-√2

csc (330°) & csc (11π/6)

2

sec (0°) & sec (360°) & sec (0) & sec (2π)

1

sec (30°) & sec (π/6)

2√3/3

sec (45°) & sec (π/4)

√2

sec (60°) & sec (π/3)

2

sec (90°) & sec (π/2)

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sec (120°) & sec (2π/3)

-2

sec (135°) & sec (3π/4)

-√2

sec (150°) & sec (5π/6)

-2√3/3

sec (180°) & sec (π)

-1

sec (210°) & sec (7π/6)

-2√3/3

sec (225°) & sec (5π/4)

-√2

sec (240°) & sec (4π/3)

-2

sec (270°) & sec (3π/2)

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sec (300°) & sec (5π/3)

2

sec (315°) & sec (7π/4)

√2

sec (330°) & sec (11π/6)

2√3/3

cot (0°) & cot (360°) & cot (0) & cot (2π)

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cot (30°) & cot (π/6)

√3

cot (45°) & cot (π/4)

1

cot (60°) & cot (π/3)

√3/3

cot (90°) & cot (π/2)

0

cot (120°) & cot (2π/3)

-√3/3

cot (135°) & cot (3π/4)

-1

cot (150°) & cot (5π/6)

-√3

cot (180°) & cot (π)

undefined

cot (210°) & cot (7π/6)

√3

cot (225°) & cot (5π/4)

1

cot (240°) & cot (4π/3)

√3/3

cot (270°) & cot (3π/2)

0

cot (300°) & cot (5π/3)

-√3/3

cot (315°) & cot (7π/4)

-1

cot (330°) & cot (11π/6)

-√3