unit circle

0 radians

(1,0)

π/6 radians

(√3/2, 1/2)

π/4 radians

(√2/2, √2/2)

π/3 radians

(1/2, √3/2)

π/2 radians

(0,1)

2π/3 radians

(-1/2, √3/2)

3π/4 radians

(-√2/2, √2/2)

5π/6 radians

(-√3/2, 1/2)

π radians

(-1,0)

7π/6 radians

(-√3/2, -1/2)

5π/4 radians

(-√2/2, -√2/2)

4π/3 radians

(-1/2, -√3/2)

3π/2 radians

(0,-1)

5π/3 radians

(1/2, -√3/2)

7π/4 radians

(√2/2, -√2/2)

11π/6 radians

(√3/2, -1/2)

2π radians

(1,0)

Pythagorean Identities

\sin^2x+\cos^2x=1

1+\tan^2x=\sec^2x

1+\cot^2x=\csc^2x

Double Angle Identities

\sin2\theta=2\sin\theta\cos\theta

\cos2\theta=\cos^2\theta-\sin^2\theta=2\cos^2\theta-1=1-2\sin^2\theta