Pre-calculus Contents F Transition of the polynomial expression from the general to source form and vice versa
Deriving the coordinates of translations formulas and the coefficients of the source polynomial function
Cubic functions
Quartic functions Sigma notation of the polynomial
Coefficients of the source polynomial in the form of a recursive formula
Coefficients of the source polynomial function are related to its derivative at x0 The general form or translatable form of the polynomial
The coordinates of translations and the coefficients of the source function formulas
Cubic formulas
Quartic formulas
Quintic formulas
Sextic formulas Translated monomial (or power) function
Translated monomial function graphs
Translated sextic function example
Rational Functions  reciprocal function  f (x) = c/x, equilateral or rectangular hyperbola Translation of the reciprocal function  f (x) = (ax + b)/(cx + d), linear rational function Graphing rational functions
Vertical asymptotes of rational functions
Horizontal asymptotes of rational functions
The oblique or slant asymptote of rational functions
Graphs of rational functions examples Inverse functions  Logarithmic functions

Natural logarithm and common logarithm conversions Solving exponential and logarithmic equations Calculation of values of trigonometric functions
Trigonometric reduction formulas - the reference angles
Calculation of values of trigonometric functions of an arbitrary angle x examples Basic relationships between trigonometric functions of the same angle
Basic relationships between trigonometric functions of the same angle shown in the unit circle
Basic relationships between trigonometric functions of the same angle shown in the tabular form
Basic relationships between trigonometric functions of the same angle examples The addition formulas and related identities
The sum and difference formulas for the trigonometric functions
Deriving the addition formulas for sine and cosine functions Trigonometric functions of double angles, double angle formulas
Trigonometric functions expressed by the half angle

Trigonometric functions expressed by the tangent of the half angle Half angle formulas Trigonometric functions expressed by the cosine of the double angle Sum to product and product to sum formulas or identities
Sum to product formulas for the sine and the cosine functions
Sum to product formulas for the tangent and the cotangent functions The product to sum formulas for the sine and cosine functions Trigonometric identities examples   Pre-calculus Contents 