{
 "source": "https://peabody.kids/flashcards/math-trig-values",
 "id": "math-trig-values",
 "title": "Trig Values at Special Angles",
 "category": "math",
 "subject": "Math",
 "levels": [
  "9-12",
  "college"
 ],
 "description": "Sine, cosine and tangent at the common unit-circle angles in degrees and radians.",
 "tags": [
  "trigonometry",
  "unit circle"
 ],
 "frontLabel": "Value",
 "backLabel": "Answer",
 "cards": [
  [
   "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"
  ]
 ]
}