Evaluate Using the Unit Circle
cot 3π/4
-1
cot 7π/4
-1
csc -π/2
-1
csc 3π/2
-1
csc 7π/2
-1
sec -π
-1
sec 3π
-1
sec π
-1
sin -π/2
-1
sin 3π/2
-1
sin 7π/2
-1
tan -5π/4
-1
tan -π/4
-1
tan 11π/4
-1
tan 15π/4
-1
tan 3π/4
-1
tan 7π/4
-1
cos -2π/3
-1/2
cos -4π/3
-1/2
cos 10π/3
-1/2
cos 2π/3
-1/2
cos 4π/3
-1/2
cos 8π/3
-1/2
sin -5π/6
-1/2
sin 11π/6
-1/2
sin 19π/6
-1/2
sin 23π/6
-1/2
sin 7π/6
-1/2
csc -5π/6
-2
csc -π/6
-2
csc 11π/6
-2
csc 19π/6
-2
csc 23π/6
-2
csc 7π/6
-2
sec -2π/3
-2
sec -4π/3
-2
sec 10π/3
-2
sec 2π/3
-2
sec 4π/3
-2
sec 8π/3
-2
csc -2π/3
-2√3/3
csc -π/3
-2√3/3
csc 10π/3
-2√3/3
csc 11π/3
-2√3/3
csc 4π/3
-2√3/3
csc 5π/3
-2√3/3
sec -5π/6
-2√3/3
sec -7π/6
-2√3/3
sec 17π/6
-2√3/3
sec 19π/6
-2√3/3
sec 5π/6
-2√3/3
sec 7π/6
-2√3/3
csc -3π/4
-√2
csc -π/4
-√2
csc 13π/4
-√2
csc 15π/4
-√2
csc 5π/4
-√2
csc 7π/4
-√2
sec -3π/4
-√2
sec -5π/4
-√2
sec 11π/4
-√2
sec 13π/4
-√2
sec 3π/4
-√2
sec 5π/4
-√2
cos -3π/4
-√2/2
cos -5π/4
-√2/2
cos 11π/4
-√2/2
cos 13π/4
-√2/2
cos 3π/4
-√2/2
cos 5π/4
-√2/2
sin -3π/4
-√2/2
sin -π/4
-√2/2
sin 13π/4
-√2/2
sin 15π/4
-√2/2
sin 5π/4
-√2/2
sin 7π/4
-√2/2
cot -7π/6
-√3
cot -π/6
-√3
cot 11π/6
-√3
cot 17π/6
-√3
cot 23π/6
-√3
cot 5π/6
-√3
tan -4π/3
-√3
tan -π/3
-√3
tan 11π/3
-√3
tan 2π/3
-√3
tan 5π/3
-√3
tan 8π/3
-√3
cos -5π/6
-√3/2
cos -7π/6
-√3/2
cos 17π/6
-√3/2
cos 19π/6
-√3/2
cos 5π/6
-√3/2
cos 7π/6
-√3/2
sin -2π/3
-√3/2
sin -π/3
-√3/2
sin 10π/3
-√3/2
sin 11π/3
-√3/2
sin 4π/3
-√3/2
sin 5π/3
-√3/2
cot -4π/3
-√3/3
cot -π/3
-√3/3
cot 11π/3
-√3/3
cot 2π/3
-√3/3
cot 5π/3
-√3/3
cot 8π/3
-√3/3
tan -7π/6
-√3/3
tan -π/6
-√3/3
tan 11π/6
-√3/3
tan 17π/6
-√3/3
tan 23π/6
-√3/3
tan 5π/6
-√3/3
cot -3π/2
0
cot -π/2
0
cot 3π/2
0
cot 7π/2
0
cot π/2
0
sin -2π
0
sin -π
0
sin 0
0
sin 2π
0
sin 3π
0
sin 4π
0
sin π
0
tan -2π
0
tan -π
0
tan 0
0
tan 2π
0
tan 3π
0
tan 4π
0
tan π
0
cos -2π
1
cos 0
1
cos 2π
1
cos 4π
1
cot -3π/4
1
cot -7π/4
1
cot 13π/4
1
cot 5π/4
1
cot 9π/4
1
cot π/4
1
csc -3π/2
1
csc 5π/2
1
csc π/2
1
sec -2π
1
sec 0
1
sec 2π
1
sec 4π
1
sin -3π/2
1
sin 5π/2
1
sin π/2
1
tan -3π/4
1
tan -7π/4
1
tan 13π/4
1
tan 5π/4
1
tan 9π/4
1
tan π/4
1
cos -5π/3
1/2
cos 11π/3
1/2
cos 7π/3
1/2
cos sin -π/3
1/2
sin 13π/6
1/2
sin 17π/6
1/2
csc 5π/6
2
csc π/6
2
sec -5π/3
2
sec -π/3
2
sec 11π/3
2
sec 5π/3
2
sec 7π/3
2
sec π/6
2
csc -4π/3
2√3/3
csc -5π/3
2√3/3
csc 7π/3
2√3/3
csc 8π/3
2√3/3
csc π/3
2√3/3
sec -11π/6
2√3/3
sec -π/6
2√3/3
sec 11π/6
2√3/3
sec 13π/6
2√3/3
sec 23π/6
2√3/3
sec π/6
2√3/3
cot -2π
undefined
cot -π
undefined
cot 0
undefined
cot 2π
undefined
cot 3π
undefined
cot 4π
undefined
cot 5π/2
undefined
cot π
undefined
csc -2π
undefined
csc -π
undefined
csc 0
undefined
csc 2π
undefined
csc 3π
undefined
csc 4π
undefined
csc π
undefined
sec -3π/2
undefined
sec -π/2
undefined
sec 3π/2
undefined
sec 5π/2
undefined
sec 7π/2
undefined
sec π/2
undefined
tan -3π/2
undefined
tan -π/2
undefined
tan 3π/2
undefined
tan 5π/2
undefined
tan 7π/2
undefined
tan π/2
undefined
cos 5π/3
½
cos π/3
½
sin -11π/6
½
sin -7π/6
½
sin 5π/6
½
sin π/6
½
csc -5π/4
√2
csc -7π/4
√2
csc 11π/4
√2
csc 2π/3
√2
csc 3π/4
√2
csc 9π/4
√2
csc π/4
√2
sec -7π/4
√2
sec -π/4
√2
sec 15π/4
√2
sec 7π/4
√2
sec 9π/4
√2
sec π/4
√2
cos -7π/4
√2/2
cos -π/4
√2/2
cos 15π/4
√2/2
cos 7π/4
√2/2
cos 9π/4
√2/2
cos π/4
√2/2
sin -5π/4
√2/2
sin -7π/4
√2/2
sin 11π/4
√2/2
sin 3π/4
√2/2
sin 9π/4
√2/2
sin π/4
√2/2
cot -11π/6
√3
cot -5π/6
√3
cot 13π/6
√3
cot 19π/6
√3
cot 7π/6
√3
cot π/6
√3
tan -2π/3
√3
tan -5π/3
√3
tan 10π/3
√3
tan 4π/3
√3
tan 7π/3
√3
tan π/3
√3
cos -11π/6
√3/2
cos -π/6
√3/2
cos 11π/6
√3/2
cos 13π/6
√3/2
cos 23π/6
√3/2
cos π/6
√3/2
sin -4π/3
√3/2
sin -5π/3
√3/2
sin 2π/3
√3/2
sin 7π/3
√3/2
sin 8π/3
√3/2
sin π/3
√3/2
cot -2π/3
√3/3
cot -5π/3
√3/3
cot 10π/3
√3/3
sin -π/6
- ½
cos -π
-1
cos 3π
-1
cos π
-1
cot -5π/4
-1
cot -π/4
-1
cot 11π/4
-1
cot 15π/4
-1
cos -3π/2
0
cos -π/2
0
cos 3π/2
0
cos 5π/2
0
cos 7π/2
0
cos π/2
0
csc -11π/6
2
csc -7π/6
2
csc 13π/6
2
csc 17π/6
2
cot 4π/3
√3/3
cot 7π/3
√3/3
cot π/3
√3/3
tan -11π/6
√3/3
tan -5π/6
√3/3
tan 13π/6
√3/3
tan 19π/6
√3/3
tan 7π/6
√3/3
tan π/6
√3/3