Conic SectionsDefinition: The curves obtained by intersection of a plane and a double cone in different orientation are called conic section. Definitions of various important terms:Focus: The fixed point is called the focus of the conic-section. Direct…

Law of CosinesIn triangle problems dealing with 2 sides and 2 angles we have seen that the Law of Sines is used to find the missing item. There are many problems, however, that deal with all three sides and only one angle of the triangle. For these prob…

Positive, Negative, & Zero ExponentsAs you know, exponents can be positive numbers, negative numbers, or zero.Let’s take a closer look at how to deal with exponents.Remember the rule for dividing like variables raised to a power? Laws of Exponents …

Different Types of PolygonsA polygon is a plane figure that is made by joining the line segments, where each line segment meets exactly two other line segments. The intersection point of two line segments is called the vertex of the polygon. Polygons ar…

What is a QuadrilateralA closed figure bounded by four line segments is called a quadrilateral. All closed figures shown in figure are quadrilaterals as all of them have four line segments. A quadrilateral has four sides, four vertices, and four angles.…

How To Calculate The Area Of A CircleA circle is the locus of a point which moves in a plane in such a way that its distance from a fixed point always remains same. The fixed point is called the centre and the given constant distance is known as the rad…

Unit Circle and Trig GraphsThe “Unit Circle” is a circle with a radius of 1. A unit circle is the source for the generation of the trigonometric function graphs. The quadrants from the unit circle, when placed horizontally in numerical order, create the …

Solving A Quadratic Equation By Completing The SquareEvery quadratic equation can be converted in the form: (x + a)2 – b2 = 0 or (x – a)2 – b2 = 0. Steps: 1. Bring, if required, all the term of the quadratic equation to the left hand side. 2. Express the…

Definition of a Relation and a FunctionRelation: A relation is simply a set of ordered pairs. The first elements in the ordered pairs (the x-values), form the domain. The second elements in the ordered pairs (the y-values), form the range. Only the eleme…

A Quick Review of Working with sine, cosine, tangentSine, Cosine and TangentLet’s start with a quick review of the three trigonometric functions we already understand. Remember that these functions work only in right triangles. Example: In right triangl…