AP CALC - Unit Circle

2π/3

120° (-1/2, √3/2) sin(2π/3)= √3/2 csc(2π/3)= 2/√3 cos(2π/3)= -1/2 sec(2π/3)= -2 tan(2π/3)= -√3 cot(2π/3)= -1/√3

3π/4

135° (-√2/2, √2/2) sin(3π/4)= √2/2 csc(3π/4)= √2 cos(3π/4)= -√2/2 sec(3π/4)= -√2 tan(3π/4)= -1 cot(3π/4)= -1

5π/6

150° (-√3/2, 1/2) sin(5π/6)= 1/2 csc(5π/6)= 2 cos(5π/6)= -√3/2 sec(5π/6)= -2/√3 tan(5π/6)= -1/√3 cot(5π/6)= -√3

π

180° (-1,0) sin(π)= 0 csc(π)= 0 cos(π)=1 sec(π)= 1 tan(π)= undefined cot(π)= undefined

7π/6

210° (-√3/2, -1/2) sin(7π/6)= -1/2 csc(7π/6)= -2 cos(7π/6)= -√3/2 sec(7π/6)= -2/√3 tan(7π/6)= 1/√3 cot(7π/6)= √3

5π/4

225° (-√2/2, -√2/2) sin(5π/4)= -√2/2 csc(5π/4)=-√2 cos(5π/4)= -√2/2 sec(5π/4)= -√2 tan(5π/4)= 1 cot(5π/4)=1

4π/3

240° (-1/2, -√3/2) sin(4π/3)= -√3/2 csc(4π/3)= -2/√3 cos(4π/3)= -1/2 sec(4π/3)= -2 tan(4π/3)= √3 cot(4π/3)= 1/√3

3π/2

270° (-1,0) sin(3π/2)= 0 csc(3π/2)= 0 cos(3π/2)=-1 sec(3π/2)= -1 tan(3π/2)= undefined cot(3π/2)= undefined

5π/3

300° (1/2, -√3/2) sin(5π/3)= -√3/2 csc(5π/3)= -2/√3 cos(5π/3)= 1/2 sec(5π/3)= 2 tan(5π/3)= -√3 cot(5π/3)= -1/√3

π/6

30° (√3/2, 1/2) sin(π/6) = 1/2 csc(π/6)= 2 cos(π/6)=√3/2 sec(π/6)= 2/√3 tan(π/6)= 1/√3 cot(π/6)= √3

7π/4

315° (√2/2, -√2/2) sin(7π/4)= -√2/2 csc(7π/4)= -√2 cos(7π/4)= √2/2 sec(7π/4)= √2 tan(7π/4)= -1 cot(7π/4)= -1

11π/6

330° (√3/2, -1/2) sin(11π/6)= -1/2 csc(11π/6)= -2 cos(11π/6)= √3/2 sec(11π/6)= 2/√3 tan(11π/6)= -1/√3 cot(11π/6)= -√3

2π

360° (1,0) sin(2π)=0 csc(2π)= undefined cos(2π)=1 sec(2π)= 1 tan(2π)=0 cot(2π)= undefined

π/4

45° (√2/2, √2/2) sin(π/4)=√2/2 csc(π/4)= √2 cos(π/4)= √2/2 sec(π/4)= √2 tan(π/4)= 1 cot(π/4)= 1

π/3

60° (1/2, √3/2) sin(π/3)=√3/2 csc(π/3)= 2/√3 cos(π/3)= 1/2 sec(π/3)= 2 tan(π/3)= √3 cot(π/3)= 1/√3

π/2

90° (0,1) sin(π/2)= 1 csc(π/2)= 1 cos(π/2)= 0 sec(π/2)= 0 tan(π/2)= undefined cot(π/2)= undefined