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Trig Values at Special Angles

Sine, cosine and tangent at the common unit-circle angles in degrees and radians.

77 cardsGrades 9–12, College#trigonometry#unit circle

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

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