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Trigonometry

Math Experiment Details

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📖 About This Experiment

Explore the fundamental relationships between angles and ratios in triangles through the unit circle. Visualize how sine, cosine, and tangent functions relate to the geometry of circles and periodic waves.

💡 Key Concepts

  • Unit Circle: Circle with radius 1, center at origin
  • Sine: Vertical coordinate on unit circle
  • Cosine: Horizontal coordinate on unit circle
  • Tangent: Ratio of sine to cosine
  • Pythagorean Identity: sin²(θ) + cos²(θ) = 1

🔢 Key Formulas

Basic Definitions
sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
tan(θ) = opposite/adjacent
Pythagorean Identity
sin²(θ) + cos²(θ) = 1