# Intro Math Plane trigonometry by Loney

## For those who have used this book

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1. Feb 1, 2013

### micromass

Staff Emeritus

Code (Text):

[LIST]
[*] Part I
[LIST]
[*] Measurement of angles. Sexagesimal and Centesimal Measure
[*] Trigonometrical Ratios for angles less than a right angle
[*] Values for angles of 45°, 30°, 60°, 90° and 0°
[*] Simple problems in Heights and Distances
[*] Applications of algebraic signs to Trigonometry
[*] Tracing the changes in the ratios
[*] Trigonometrical ratios of angles of any size. Ratios for -\theta ,90°-\theta,90°+\theta,...
[*] General expressions for all angles having a given trigonometrical ratio
[*] Ratios of the sum and difference of two angles
[*] Product Formulae
[*] Ratios of multiple and submultiple angles
[*] Explanation of ambiguities
[*] Angles of 18°, 36°, and 9°
[*] Identities and trigonometrical equations
[*] Logarithms
[*] Tables of logarithms
[*] Principle of Proportional Parts
[*] Sides and Angles of a triangle
[*] Solution of triangles
[*] Given two sides and the included angle
[*] Ambiguous Case
[*] Heights and Distances
[*] Properties of a triangle
[*] The circles connected with a triangle
[*] Orthocentre and Pedal triangle
[*] Centroid and Medians
[*] Regular Polygons
[*] Trigonometrical ratios of small angles. sin \theta < \theta <tan \theta
[*] Area of a Circle
[*] Dip of the horizon
[*] Inverse circular functions
[*] Some simple trigonometrical Series
[*] Elimination
[/LIST]
[*] Analytical Trigonometry
[LIST]
[*] Exponential and Logarithmic Series
[*] Logarithms to base e
[*] Two important limits
[*] Complex quantities
[*] De Moivre's Theorem
[*] Binomial Theorem for complex quantities
[*] Expansions of sin n\theta, cos n\theta, and tan n\theta
[*] Expansions of sin a and cos a in a series of ascending powers of a
[*] Sines and Cosines of small angles
[*] Approximation to the root of an equation
[*] Evaluation of indeterminate quantities
[*] Expansions of cos^n \theta and sin^n \theta in cosines or sines of multiples of \theta
[*] Expansions of sin n\theta and cos n\theta in series of descending and ascending powers of sin \theta and cos \theta
[*] Exponential Series for Complex Quantities
[*] Circular functions of complex angles
[*] Euler's exponential values
[*] Hyperbolic Functions
[*] Inverse Circular and Hyperbolic Functions
[*] Logarithms of complex quantities
[*] Value of a^x when a and x are complex
[*] Gregory's Series
[*] Calculation of the value of \pi
[*] Summation of Series
[*] Expansions in Series
[*] Factors of x^{2n} - 2x^n cos n\theta + 1
[*] Factors of x^n - 1 and x^n + 1
[*] Resolution of sin \theta and cos \theta into factors
[*] sinh \theta and cosh \theta in products
[*] Principle of Proportional Parts
[*] Errors of observation
[*] Miscellaneous Propositions
[*] Solution of a Cubic Equation
[*] Maximum and Minimum Values
[*] Geometrical representation of complex quantities
[*] Miscellaneous Examples
[/LIST]
[/LIST]

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