Unit Circle

trigonometry

30°

π/6

0°

0π=2π

45°

π/4

60°

π/3

90°

π/2

120°

2π/3

135°

3π/4

150°

5π/6

180°

π

210°

7π/6

225°

5π/4

240°

4π/3

270°

3π/2

300°

5π/3

315°

7π/4

330°

11π/6

sin 0°

0

cos 0°

1

tan 0°

0

sec 0°

1

sin 30°

1/2

cos 30°

√3/2

tan 30°

√3/3

cot 30°

√3

sec 30°

2√3/3

csc 30°

2p

sin 45°

√2/2

cos 45°

√2/2

tan 45°

1

cot 45°

1

sec 45°

√2

csc 45°

√2

sin 60°

√3/2

cos 60°

1/2

tan 60°

√3

cot 60°

√3/3

sec 60°

2

csc 60°

2√3/3

sin 90°

1

cos 90°

0

cot 90°

0

sin 120°

√3/2

cos 120°

-1/2

tan 120°

-√3

cot 120°

-√3/3

sec 120°

-2

csc 120°

2√3/3

sin 135°

√2/2

cos 135°

-√2/2

tan 135°

-1

cot 135°

-1

sec 135°

-√2

csc 135°

√2

sin 150°

1/2

cos 150°

-√3/2

tan 150°

-√3/3

cot 150°

-√3

sec 150°

-2√3/3

csc 150°

2

sin 180°

0

cos 180°

-1

tan 180°

0

sec 180°

-1

sin 210°

-1/2

cos 210°

-√3/2

tan 210°

√3/3

cot 210°

√3

sec 210°

-2√3/3

csc 210°

-2

sin 225°

-√2/2

cos 225°

-√2/2

tan 225°

1

cot 225°

1

sec 225°

-√2

csc 225°

-√2

sin 240°

-√3/2

cos 240°

-1/2

tan 240°

√3

cot 240°

√3/3

sec 240°

-2

csc 240°

-2√3/3

sin 270°

-1

cos 270°

0

cot 270°

0

csc 270°

-1

sin 300°

-√3/2

cos 300°

1/2

tan 300°

-√3

cot 300°

-√3/3

sec 300°

2

csc 300°

-2√3/3

sin 315°

-√2/2

cos 315°

√2/2

tan 315°

-1

cot 315°

-1

sec 315°

√2

csc 315°

-√2

sin 330°

-1/2

cos 330°

√3/2

tan 330°

-√3/3