Geometry and Trigonometry | Master Angles, Triangles & Trig Identities

Geometry and Trigonometry are essential branches of mathematics that lay the groundwork for more advanced topics in calculus, physics, engineering, and architecture. This section provides a comprehensive and structured approach to key geometric figures, measurement techniques, and the analysis of angles and periodic functions.

\(r = a(1 + \cos \theta), \quad r = b\sin(2\theta)\)

Build a solid foundation in fundamental geometry.

Topics Covered:

  • 37.1 Introduction
  • 37.2 Angular Measurement
  • 37.3 Triangles
  • 37.4 Congruent Triangles
  • 37.5 Similar Triangles
  • 37.6 Triangle Construction

Related Modules:

  • 38.1 Introduction
  • 38.2 Pythagoras Theorem
  • 38.3 Sine, Cosine, Tangent
  • 38.4 Evaluating Trig Ratios (Acute)
  • 38.5 Reciprocal Ratios
  • 38.6 Fractional & Surd Forms
  • 38.7 Solving Right-Angled Triangles
  • 38.8 Elevation & Depression Angles
  • 38.9 Small Angle Approximations

Related Modules

  • 39.1 Trigonometric Graphs
  • 39.2 Angles of Any Magnitude
  • 39.3 Sine & Cosine Wave Production
  • 39.4 Waveform Terminology
  • 39.5 Sinusoidal Form: A sin(ωt±α)
  • 39.6 Complex Waveforms

Related Modules

  • 40.1 Introduction
  • 40.2 Cartesian to Polar
  • 40.3 Polar to Cartesian
  • 40.4 Calculator Pol/Rec Functions

Related Modules

  • 41.1 Sine & Cosine Rules
  • 41.2 Area of Any Triangle
  • 41.3 Triangle Solution Problems
  • 41.4 Advanced Triangle Problems
  • 41.5 Practical Trigonometry
  • 41.6 Advanced Practical Trigonometry

Related Modules

  • 42.1 Trigonometric Identities
  • 42.2 Identity Problems
  • 42.3 Trigonometric Equations
  • 42.4 Equation Problems (i)
  • 42.5 Equation Problems (ii)
  • 42.6 Equation Problems (iii)
  • 42.7 Equation Problems (iv)

Related Modules

  • 44.1 Compound Angle Formulae
  • 44.2 Converting a sin ωt+b cos ωt
  • 44.3 Double Angles
  • 44.4 Products to Sums/Differences
  • 44.5 Sums/Differences to Products
  • 44.6 Power Waveforms (AC Circuits)

Related Math Modules