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4.3 Right Triangles and Trigonometric Ratios

Mastering Pythagorean theorem, sine, cosine, tangent ratios, and solving right triangles.

本节包含的知识点

  • 4.3.1 Pythagorean Theorem — Understanding and applying the Pythagorean theorem (a² + b² = c²) to find missing sides in right triangles.
  • 4.3.2 Sine, Cosine, and Tangent Ratios — Defining and calculating the three primary trigonometric ratios (sin, cos, tan) using opposite, adjacent, and hypotenuse sides.
  • 4.3.3 Inverse Trigonometric Functions — Using inverse trigonometric functions (arcsin, arccos, arctan) to find angles when side lengths are known.
  • 4.3.4 Solving Right Triangles — Applying trigonometric ratios and the Pythagorean theorem to solve for unknown sides and angles in right triangles.
  • 4.3.5 Special Right Triangles — Recognizing and using properties of 45-45-90 and 30-60-90 triangles to solve problems efficiently.
  • 4.3.6 Applications of Trigonometry — Applying trigonometric ratios to real-world problems such as angles of elevation, depression, and distance calculations.