CONSTRUCTION OF A CIRCLEA circle is the path covered by a point which moves in such a way that its distance from a fixed point always remains constant. The fixed point is called the centre and the constant distance is called the radius of the circle. He…

Logarithmic EquationsA logarithmic equation can be solved using the properties of logarithms along with the use of a common base.Properties of Logs: To solve most logarithmic equations: 1. Isolate the logarithmic expression. (you may need to use the pr…

Recursive SequencesRecursion is the process of choosing a starting term and repeatedly applying the same process to each term to arrive at the following term. Recursion requires that you know the value of the term immediately before the term you are tryi…

Examining Graphs of Polynomial Equations of Higher DegreeGraphing polynomial functions of higher degree can be quite tedious if done by hand. Fortunately, the graphing calculator can be very helpful in providing us with graphs of these functions very qu…

Area Of A TriangleThe area of a triangle, the coordinates of whose vertices are (x1, y1), (x2, y2) and (x3, y3) is \(\frac { 1 }{ 2 }\) | x1 (y2 – y3) + x2 (y3 – y1) + x3 (y1 – y2) | Remark: The area of ∆ABC can also be computed by using the following st…

Trigonometry: Solving for an AngleUsing Trigonometric Functions to Find a Missing AngleThe initial set up for solving these problems will be the same as that for finding a missing side.To finish the problem, however, it will be necessary to use a calcula…

Area of Polygons and CirclesArea formulas can be found at “Reference Table for Areas” Let’s pick up some hints for those more challenging problems involving area.Regular polygons have a center and a radius (coinciding with their circumscribed circle), an…

Graphical Method Of Solving Linear Equations In Two VariablesLet the system of pair of linear equations be a1x + b1y = c1                       ….(1) a2x + b2y = c2                      ….(2) We know that given two lines in a plane, only one of the foll…

Area on a Coordinate GridFinding the area of polygons drawn on a coordinate axis is an easy process. There are two situations to be considered when examining these polygons:Sides are parallel to the axes: If the figure is drawn such that its sides (or ne…

Determining Relations and FunctionsRelation: A relation is simply a set of ordered pairs. A relation can be any set of ordered pairs. No special rules need apply.Consider this example of a relation: The relationship between eye color and student names. (…