unit circles: radians (sin, cos, tan, sec, csc, cot)

csc (0π)

DNE

sec (0π)

1

cot (0π)

DNE

csc (π/6)

2

sec (π/6)

2√3/3

cot (π/6)

√3

csc (π/4)

√2

sec (π/4)

√2

cot (π/4)

1

csc (π/3)

2√3/3

sec (π/3)

2

cot (π/3)

√3/3

csc (π/2)

1

sec (π/2)

DNE

cot (π/2)

0

csc (2π/3)

2√3/3

sec (2π/3)

-2

cot (2π/3)

-√3/3

csc (3π/4)

√2

sec (3π/4)

-√2

cot (3π/4)

-1

csc (5π/6)

2

sec (5π/6)

-2√3/3

cot (5π/6)

-√3

csc (π)

DNE

sec (π)

-1

cot (π)

DNE

csc (7π/6)

-2

sec (7π/6)

-2√3/3

cot (7π/6)

√3

csc (5π/4)

-√2

sec (5π/4)

-√2

cot (5π/4)

1

csc (4π/3)

-2√3/3

sec (4π/3)

-2

cot (4π/3)

√3/3

csc (3π/2)

-1

sec (3π/2)

DNE

cot (3π/2)

0

csc (5π/3)

-2√3/3

sec (5π/3)

2

cot (5π/3)

-√3/3

csc (7π/4)

-√2

sec (7π/4)

√2

cot (7π/4)

-1

csc (11π/6)

-2

sec (11π/6)

2√3/3

cot (11π/6)

-√3

Cos(3π/2)

0

Sin(3π/2)

-1

Tan(3π/2)

undefined

Cos(5π/3)

1/2

Sin(5π/3)

-√3/2

Tan(5π/3)

-√3

Cos(7π/4)

√2/2

Sin(7π/4)

-√2/2

Tan(7π/4)

-1

Cos(11π/6)

√3/2

Sin(11π/6)

-1/2

Tan(11π/6)

-√3/3

Cos(2π)

1

Sin(2π)

0

Tan(2π)

0

Cos(π/2)

0

Sin(π/2)

1

Tan(π/2)

undefined

Cos(2π/3)

-1/2

Sin(2π/3)

√3/2

Tan(2π/3)

-√3

Cos(3π/4)

-√2/2

Sin(3π/4)

√2/2

Tan(3π/4)

-1

Cos(5π/6)

-√3/2

Sin(5π/6)

1/2

Tan(5π/6)

-√3/3

Cos(π)

-1

Sin(π)

0

Tan(π)

0

Cos(0)

1

Sin(0)

0

Tan(0)

0

Cos(π/6)

√3/2

Sin(π/6)

1/2

Tan(π/6)

√3/3

Cos(π/4)

√2/2

Sin(π/4)

√2/2

Tan(π/4)

1

Cos(π/3)

1/2

Sin(π/3)

√3/2

Tan(π/3)

√3

Cos(7π/6)

-√3/2

Sin(7π/6)

-1/2

Tan(7π/6)

√3/3

Cos(5π/4)

-√2/2

Sin(5π/4)

-√2/2

Tan(5π/4)

1

Cos(4π/3)

-1/2

Sin(4π/3)

-√3/2

Tan(4π/3)

√3