Trigonometry Tags

Trigonometry Tags

Geometric and algebraic foundations for trigonometry

  • Similar figures
  • The Pythagorean theorem & its converse
  • Radians, converting radians & degrees
  • Arc length, sector area, angular and linear velocity
  • Reference angles (using coterminal angles)

Trigonometric functions

  • Unit circle
  • Sine & cosine functions - definitions, graphs, & properties
  • Tangent & cotangent functions - definitions, graphs, & properties
  • Secant & cosecant functions - definitions, graphs, & properties
  • Inverse trigonometric functions - definitions, graphs, & properties
  • Combinations and compositions of functions
  • Trigonometric functions of special angles
  • Trigonometric functions of non-special angles

Triangle trigonometry

  • Sine, cosine, and tangent of an angle in a right triangle
  • Law of sines
  • Law of cosines
  • Area of a triangle

Analytic trigonometry

  • Double-angle & half-angle formulas
  • Addition & subtraction formulas
  • Solving trigonometric equations exactly
  • Solving trigonometric equations numerically
  • Solving trigonometric inequalities exactly
  • Solving trigonometric inequalities numerically
  • Product-to-sum & sum-to-product formulas

Polar coordinates & vectors

  • Polar and rectangular coordinates
  • Curves
  • Inequalities
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