Trigonometry A Complete Introduction 1st Edition by Hugh Neill ISBN 1444191144 9781444191141

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ISBN 10: 1444191144
ISBN 13: 9781444191141
Author: Hugh Neill

Trigonometry A Complete Introduction 1st Table of contents:

1. The tangent
 1.1 Introduction
 1.2 The idea of the tangent ratio
  1.3 A definition of tangent
  1.4 Values of the tangent
  1.5 Notation for angles and sides
  1.6 Using tangents
  1.7 Opposite and adjacent sides

2. Sine and cosine
  2.1 Introduction
  2.2 Definition of sine and cosine
  2.3 Using the sine and cosine
  2.4 Trigonometric ratios of 45°, 30° and 60°
  2.5 Using the calculator accurately
  2.6 Slope and gradient
  2.7 Projections
  2.8 Multistage problems

3. In three dimensions
  3.1 Introduction
  3.2 Pyramid problems
  3.3 Box problems
  3.4 Wedge problems

4. Angles of any magnitude
  4.1 Introduction
  4.2 Sine and cosine for any angle
  4.3 Graphs of sine and cosine functions
  4.4 The tangent of any angle
  4.5 Graph of the tangent function
  4.6 Sine, cosine and tangent

5. Solving simple equations
  5.1 Introduction
  5.2 Solving equations involving sines
  5.3 Solving equations involving cosines
  5.4 Solving equations involving tangents

6. The sine and cosine formulae
  6.1 Notation
  6.2 Area of a triangle
  6.3 The sine formula for a triangle
  6.4 The ambiguous case
  6.5 The cosine formula for a triangle
  6.6 Introduction to surveying
  6.7 Finding the height of a distant object
  6.8 Distance of an inaccessible object
  6.9 Distance between two inaccessible but visible objects
  6.10 Triangulation

7. Radians
  7.1 Introduction
  7.2 Radians
  7.3 Length of a circular arc
  7.4 Converting from radians to degrees
  7.5 Area of a circular sector

8. Relations between the ratios
  8.1 Introduction
  8.2 Secant, cosecant and cotangent

9. Ratios and compound angles
  9.1 Compound angles
  9.2 Formulae for sin(A + B) and sin(A − B)
  9.3 Formulae for cos(A + B) and cos(A − B)
  9.4 Formulae for tan(A + B) and tan(A − B)
  9.5 Worked examples
  9.6 Multiple angle formulae
  9.7 Identities
  9.8 More trigonometric equations

10. The forms a sin x and b cos x
  10.1 Introduction
  10.2 The form y = a sin x + b cos x
  10.3 Using the alternative form

11. The factor formulae
  11.1 The first set of factor formulae
  11.2 The second set of factor formulae

12. Circles related to triangles
  12.1 The circumcircle
  12.2 The incircle
  12.3 The excircles
  12.4 Heron’s formula: the area of a triangle

13. General solution of equations
  13.1 The equation sin θ = sin α
  13.2 The equation cos θ = cos α
  13.3 The equation tan θ = tan α

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Tags: Hugh Neill, Trigonometry, Complete Introduction