unit circle trig functions

0

sin 0°

1/2

sin 30°

√2/2

sin 45°

√3/2

sin 60°

1

sin 90°

√3/2

sin 120°

√2/2

sin 135°

1/2

sin 150°

0

sin 180°

-1/2

sin 210°

-√2/2

sin 225°

-√3/2

sin 240°

-1

sin 270°

-√3/2

sin 300°

-√2/2

sin 315°

-1/2

sin 330°

0

sin 360°

1

cos 0°

√3/2

cos 30°

√2/2

cos 45°

1/2

cos 60°

0

cos 90°

-1/2

cos 120°

-√2/2

cos 135°

-√3/2

cos 150°

-1

cos 180°

-√3/2

cos 210°

-√2/2

cos 225°

-1/2

cos 240°

0

cos 270°

1/2

cos 300°

√2/2

cos 300°

√3/2

cos 330°

1

cos 360°

0

tan 0°

√3/3

tan 30°

1

tan 45°

√3

tan 60°

tan 90°

Undefined

-√3

tan 120°

-1

tan 135°

-√3/3

tan 150°

0

tan 180°

1/√3

tan 210°

tan 225°

1

tan 240°

√3

tan 270°

Ø

tan 300°

-√3

tan 315°

-1

tan 330°

-√3/3

tan 360°

0

0

sin(2π)

1

cos(2π)

0

tan(2π)

½

sin(π/6)

√3 / 2

cos(π/6)

1/√3

tan(π/6)

√2 / 2

sin(π/4)

√2 / 2

cos(π/4)

1

tan(π/4)

√3 / 2

sin(π/3)

½

cos(π/3)

√3

tan(π/3)

1

sin(π/2)

0

cos(π/2)

undefined

tan(π/2)

√3 / 2

sin(2π/3)

-½

cos(2π/3)

-√3

tan(2π/3)

√2 / 2

sin(3π/4)

-√2 / 2

cos(3π/4)

-1

tan(3π/4)

½

sin(5π/6)

-√3 / 2

cos(5π/6)

-1/√3

tan(5π/6)

0

sin(π)

-1

cos (π)

0

tan (π)

-1/2

sin(7π/6)

-√3 / 2

cos(7π/6)

√3/3

tan(7π/6)

-√2 / 2

sin(5π/4)

-√2 / 2

cos(5π/4)

1

tan(5π/4)

-√3 / 2

sin(4π/3)

-½

cos(4π/3)

√3

tan(4π/3)

-1

sin(3π/2)

0

cos(3π/2)

undefined

tan(3π/2)

-√3 / 2

sin(5π/3)

½

cos(5π/3)

-√3

tan(5π/3)

-√2 / 2

sin(7π/4)

√2 / 2

cos(7π/4)

-1

tan(7π/4)

-1/2

sin(11π/6)

√3 / 2

cos(11π/6)

-√3/3

tan(11π/6)