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

Trigonometry - Measuring angles.
Main page.

• Algebra & Number
  • Main Algebra page
  • Equations
    • Blood alcohol (BAC)
  • Factorisation
  • Indices
  • Fractions - algebraic
  • Absolute values
  • Inequalities
  • Irrationals
• Calculus
  • Differentiation
    • Main page
    • Max-min questions
    • Implicit differentiation
  • Integration
    • Main page
    • Approximation methods
    • Areas
    • Volumes
    • Reverse Chain Rule
  • Applics to physical world
  • Historical development
• Financial Maths
  • Main Finance page
  • Earning money & Tax
  • Standard Investments & Loans
  • Series
  • Series - Annuities & Loans
• Functions & Quadratics
  • Main page
  • Characteristics
  • Transformations
  • Linear fns
  • Quadratics
  • Exponential
    • Main page
  • Hyperbola
  • Logarithmic
    • Main page
  • Trigonometric
    • Main page
  • Parametric
  • Inverse functions
    • Inverse fns
    • Inverse trig fns.
• Geometry
  • Parallel lines
  • Triangles
    • Types
    • Congruence
    • Similarity
  • Pythagoras' Theorem
  • Quadrilaterals
  • Circles
    • Arc length, sectors etc
• Measurement
  • Errors of measurement
  • Perimeter & area
  • Surface area & volume
  • Energy and mass
    • Units
    • Food & exercise
    • Electricity
  • Time
    • UTC, GMT & IDL
• Networks & Graphs
• Probability & Statistics
  • Probability main page
  • Data presentation
  • Descriptive statistics
    • Main page
    • Calculator use
  • Probability distributions
  • Normal distribution
  • Binomial distribution
• Trigonometry
  • Measuring angles
    • Main page
  • Equations & identities
  • Graphing trig functions
  • Calculus and trig functions
  • Inverse trig fns
• Maths & beyond
  • Bibliography
  • Maths humour
• Index

 

The following topics are linked from this page:

1. The basic trigonometric ratios and their relationships.

2. Angles of any magnitude (i.e. around the circle).

3. Finding a trig ratio given another.

4. Trigonometric identities.

4. Trigonometric equations.

5. Sine and Cosine rules.

6. Angles of elevation and depression.

7. Bearings.

8. Radial surveys.

9. 3-D trigonometry.

10. Radians.

11. Mensuration (arc length, area of sectors, etc).

 

Definition of the basic trigonometric ratios.	History of the basic relationships and their meaning.
	Determining a ratio - Test Yourself 1.
	Determining a ratio - Test Yourself 1 - Solutions.
The basic relationships.
Summary of the basic relationships - for reference and for helping you learn them.
	Trig relationships - Test Yourself 1.
	Trig relationships - Test Yourself 1 - Solutions.
	Finding a side in a triangle - Test Yourself 1.
	Finding a side in a triangle - Test Yourself 1 - Solutions.
	Finding an angle in a triangle - Test Yourself 1.
	Finding an angle in a triangle - Test Yourself 1 - Solutions.
Angles of any magnitude.
	Angles in quadrants - Test Yourself 1.
	Angles in quadrants - Test Yourself 1 - Solutions.
Finding a trig ratio given the value of another ratio.
	Overview of main steps with an example.
	Ratio to ratio - Test Yourself 1.
	Ratio to ratio - Test Yourself 1 - Solutions.
Trigonometry identities.	See Equations and identities - Main page.
Further trigonometric identities.	See Equations and identities - Main page.
Solving trigonometric equations (angles in degrees).	See Equations and identities - Main page.
Sine and Cosine Rules.	Sine and Cosine Rules - Introduction - similarities and differences.
	Sine Rule - Proof.
	Cosine Rule - Proof.
Sine Rule.
	Overview of steps for using the Sine Rule.
	Sine Rule - Test Yourself 1.
	Sine Rule - Test Yourself 1 - Solutions.
	Sine Rule - Test Yourself 2.
	Sine Rule - Test Yourself 2 - Solutions.
Cosine Rule
	Overview of steps for using the Cosine Rule.
	Cosine rule - Test Yourself 1.
	Cosine rule - Test Yourself 1 - Solutions.
	Using the cosine rule to approximate the value of π.
Area of a triangle.
Angles of elevation and depression.	General introduction to the concepts.
	Elevation & depression - Test Yourself 1.
	Elevation & depression - Test Yourself 1 - Solutions.
Bearings.	General introduction.
	Bearings - Test Yourself 1.
	Bearings - Test Yourself 1 - Solutions.
	Bearings and Trig. Rules - Test yourself 1.
	Bearings and Trig. Rules - Test yourself 1 - Solutions.
Radial surveys
	Radial surveys - Test Yourself 1.
	Radial surveys - Test Yourself 1 - Solutions.
3-dimensional trigonometry.
Radians	What are radians?
	Radians - Test Yourself 1.
	Radians - Test Yourself 1 - Solutions.
Mensuration (arc length and areas).	Arc length and sectors - Test Yourself 1.
	Arc length and sectors - Test Yourself 1 - Solutions.
	Arc length and sectors - Test Yourself 2.