Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Trigonometry - Ratios, relationships and applications (non-calculus).
Main page.

• Algebra & Number
  • Equations
    • Simultaneous
    • Blood alcohol (BAC)
  • Factorisation
    • Overview
    • Cross Method
    • Completing the Square
    • Cubics
  • Indices & Powers
  • Inequalities
  • Absolute values
• Calculus
  • Main page
  • Differentiation
    • Main page
    • Implicit differentiation
  • Integration
    • Main page
    • Reverse Chain Rule
    • Areas
    • Volumes
    • Approximation methods
  • Applics to physical world
• Financial Maths
  • Main Finance page
  • Earning money & Tax
  • Investment & Loans
  • Series
• Functions & Quadratics
  • Characteristics
  • Quadratics
  • Exponential
    • Main page
  • Logarithmic
    • Main page
  • Trigonometric
    • Main page
  • Inverse functions
    • Inverse fns
    • Inverse trig fns.
  • Parametric
• Geometry
  • Triangles
    • Types
    • Congruence
    • Similarity
  • Quadrilaterals
  • Parallel lines
  • Circles
    • Arc length, sectors etc
• Measurement
  • Time
    • UTC, GMT & IDL
  • Errors of measurement
• Networks & Graphs
• Probability & Statistics
  • Probability
  • Normal distribution
  • Binomial distribution
• Trigonometry
  • Measuring angles
    • Basic ratios
    • Sine rule
    • Cosine rule
    • Area of a triangle
    • 3D trig
    • Radians
  • Equations & identities
  • Graphing trig functions
  • Calculus and trig functions
  • Inverse trig fns
• Maths & beyond
  • Bibliography
  • Maths humour
• Index

 

Definition of the 3 basic ratios	History of the basic relationships and their meaning.
The basic relationships.
	Trig relationships - Test Yourself 1.
	Trig relationships - Test Yourself 1 - Solutions.
Summary of the basic relationships - for reference and for helping you learn them.
Trigonometry identities.
	Trig identities - Test Yourself 1.
	Trig identities - Test Yourself 1 - Solutions.
	Trig identities - Test Yourself 2.
	Trig identities - Test Yourself 2 - Solutions.
Further trigonometric identities.
	Further identities (sums & diffs) - Test Yourself 1.
	Further identities (sums & diffs) - Test Yourself 1 Solutions.
	Further identities (double angles and t) - Test Yourself 1.
	Further identities (double angles and t) - Test Yourself 1. - Solutions
	Further identities (trig products) - Test Yourself 1.
	Further identities (trig products) - Test Yourself 1 - solutions.
Solving trigonometric equations (angles in degrees).
Steps to follow when solving basic trigonometric equations.
	Trig equations - Test Yourself 1..
	Trig equations - Test Yourself 1 - Solutions.
Auxilliary angle relationships and equations.	Steps to follow.
	Auxilliary angles - Test Yourself 1.
	Auxilliary angles - Test Yourself 1 - Solutions.
Sine Rule.
Cosine Rule
	Cosine rule - Test Yourself 1.
	Cosine rule - Test Yourself 1 - Solutions.
	Using the cosine rule to approximate the value of π.
Angles of elevation and depression.
Bearings.
Mensuration (arc length and area of a sector).	Mensuration - Test Yourself 1.
	Mensuration - Test Yourself 1 - Solutions.
	Mensuration - Test Yourself 2.