## Description

After Beginning Algebra, Advanced Algebra and Geometry, this book completes everything you need for calculus.

- Angles of elevation,
- Definition of the sine function,
- Angles of depression,
- Area of a triangle = ½ab sin θ,
- Heron’s formula,
- Review of graphing and significant digits,
- Discrete and continuous variables as illustrated in The Merchant of Venice,
- Tangent function,
- Why we create new mathematics,
- Limit of tan θ as θ approaches 90º, Ordinal and cardinal numbers, Cosine function, Graphing y = sin x,
- Identity function, Contrapositives, Domain and range of a function,
- Defining 6 to the pi power,
- Trig angles in standard position,
- Expanding the domain of a function,
- Periodic functions, Identities from algebra,
- Even and odd functions, Trig identities for sine and cosine, for tangent, for secant,
- Four suggestions for increasing success in solving trig identities,
- Trig identities for cotangent and cosecant,
- Nine tricks for solving trig identities,
- Shortcuts for graphing y = a sin (bx + c),
- Degrees, minutes, and seconds,
- Conversion factors,
- Radians, Videlicet, exempli. gratia, and id est,
- Area of a segment of a circle,
- Solving conditional trig equations,
- Related angles,
- Joseph Lister,
- Multiple angle formulas and their proofs,
- Symmetric law of equality,
- Probability of finding a right triangle,
- Law of Cosines,
- Florence Nightingale,
- Law of Sines,
- Inverse functions, One-to-one functions,
- Hyperbole,
- Principal values of the inverse trig functions,
- Ambiguous case for the law of sines,
- Why sin (2 Arctan 3) equals 3/5,
- Polar coordinates,
- Graphing a cardioid and a lemniscate,
- Codomain of a function,
- Official definition of the number one,
- Proof that the square root of 2 is irrational,
- Transcendental numbers,
- Complex numbers,
- Russell’s paradox,
- Malfatti’s problem and its solution in 1967, r cis θ, de Moivre’s theorem and its proof,
- The millionth roots of i,

Review of the major parts of high school algebra and a preview of all of Calculus.

This book has all the problems completely worked out, which wasn’t true in the old books.