Unit Circle

0 Degrees

(1,0)

30 Degrees

π/6, (√3/2,1/2)

45 Degrees

π/4, (√2/2, √2/2)

60 Degrees

π/3, (1/2, √3/2)

90 Degrees

π/2, (0,1)

120 Degrees

2π/3, (-1/2, √3/2)

135 Degrees

3π/4, (-√2/2, √2/2)

150 Degrees

5π/6, (-√3/2, 1/2)

180 Degrees

π, (-1,0)

210 Degrees

7π/6, (-√3/2, -1/2)

225 Degrees

5π/4, (-√2/2, -√2/2)

240 Degrees

4π/3, (-1/2, -√3/2)

270 Degrees

3π/2, (0,-1)

300 Degrees

5π/3, (1/2, -√3/2)

315 Degrees

7π/4, (√2/2, -√2,2)

330 Degrees

11π/6, (√3/2, -1/2)

sinθ

1/cscθ, y, If r doesnt = 1:y/r

cscθ

1/sinθ, 1/y, If r doesnt = 1:r/y

cosθ

1/secθ, x, If r doesnt = 1:x/r

secθ

1/cosθ, 1/x, If r doesnt = 1: r/x

tanθ

1/cotθ, y/x, If r doesnt = 1: y/x

cotθ

1/tanθ, x/y, If r doesnt = 1: x/y

tanθ

sinθ/cosθ

cotθ

cosθ/sinθ

sin²θ+cos²θ

1

1+tan²θ

sec²θ

1+cot²θ

csc²θ

sin(π/2 - θ)

cosθ

cos(π/2 - θ)

sinθ

tan(π/2 - θ)

cotθ

cot(π/2 - θ)

tanθ

sec(π/2 - θ)

cscθ

csc(π/2 - θ)

secθ

sin(-θ)

-sinθ

cos(-θ)

cosθ

tan(-θ)

-tanθ

csc(-θ)

-cscθ

sec(-θ)

secθ

cot(-θ)

-cotθ