sin 0°: 0
sin 30°: 1/2
sin 45°: √2/2
sin 60°: √3/2
sin 90°: 1
sin 120°: √3/2
sin 135°: √2/2
sin 150°: 1/2
sin 180°: 0
sin 210°: −1/2
sin 225°: −√2/2
sin 240°: −√3/2
sin 270°: −1
sin 300°: −√3/2
sin 315°: −√2/2
sin 330°: −1/2
sin 360°: 0
cos 0°: 1
cos 30°: √3/2
cos 45°: √2/2
cos 60°: 1/2
cos 90°: 0
cos 120°: −1/2
cos 135°: −√2/2
cos 150°: −√3/2
cos 180°: −1
cos 210°: −√3/2
cos 225°: −√2/2
cos 240°: −1/2
cos 270°: 0
cos 300°: 1/2
cos 315°: √2/2
cos 330°: √3/2
cos 360°: 1
tan 0°: 0
tan 30°: √3/3 (1/√3)
tan 45°: 1
tan 60°: √3
tan 90°: Undefined
tan 120°: −√3
tan 135°: −1
tan 150°: −√3/3
tan 180°: 0
tan 225°: 1
tan 270°: Undefined
sin(π/6): 1/2
sin(π/4): √2/2
sin(π/3): √3/2
sin(π/2): 1
cos(π/6): √3/2
cos(π/4): √2/2
cos(π/3): 1/2
cos(π): −1
sin(π): 0
cos(2π/3): −1/2
sin(5π/6): 1/2
sin(3π/2): −1
sin(7π/6): −1/2
cos(5π/4): −√2/2
cos(7π/4): √2/2
tan(π/4): 1
tan(π/3): √3
tan(π/6): √3/3
csc 30°: 2
sec 60°: 2
cot 45°: 1
sec 0°: 1
Where is sine positive?: Quadrants I and II
Where is cosine positive?: Quadrants I and IV
Where is tangent positive?: Quadrants I and III
Memory rule for signs (All Students Take Calculus): All positive in I, Sine in II, Tangent in III, Cosine in IV
The unit circle point at 90°: (0, 1)
The unit circle point at 180°: (−1, 0)
The unit circle point at 45°: (√2/2, √2/2)
Range of sine and cosine: −1 to 1
Period of sine and cosine: 360° or 2π
Period of tangent: 180° or π

Free flashcards from Peabody at peabody.kids/flashcards/math-trig-values