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