Trigonometry

• Right triangle trigometry
  • Trigonometric Functions of Angles in a right triangle (C)
  • Inverse Cosine (C)
  • Law of Cosines (C)
  • Vectors in Space
  • Dot Product
  • Law of Sines
  • Solving Triangles
    • Radius of the Earth
    • Block on Inclined Plane
    • Vector Projection

• Analytic trigonometry
  • Directed Arcs of Circles and Radian Measure
  • Trigonometric Functions of directed arcs of radius 1
  • Graphs of Trigonometric Functions
  • Inverse Trigonometric Functions (C)
  • Graphs of Inverse Trigonometric Functions
  • Five Fundamental Identities (C)
    • Circle Identity (C)
    • Cosine is even and sine is odd (C)
    • Addition formula for sine and for cosine (C)
    • Amplitude and Phase Shift (C)
  • Derived Identities (C)
    • Double Angles (C)
    • Half Angles (C)
    • Product Formulae (C)
  • Identities for Tangent, Secant, Cotangent and Cosecant
  • Simplifying Expressions Involving Trigonometric and Inverse Trigonometric Functions (C)
  • Exercises

• Polar Coordinates

• Complex Exponential Function
  • Roots of Unity
  • Roots of Complex Numbers
  • Polynomials with Complex Coefficients