 ## Representing Sets by Venn Diagrams

Venn diagrams are the most common way of representing a set. This method was introduced by the English mathematician John Venn. Therefore these are called Venn Diagram. Set is a collection of items that can be clearly identified.The items in a set are called its elements. Example: Let A be the set of even numbers … ## Similarity

Similarity,In what follows, we’ll see that many—if not most—of our results shall rely on the proportionality of sides in similar triangles. A convenient statement is as follows. Similarity, Given the similar triangles ΔABC ∼ ΔA’BC’,We have that, Conversely, if then triangles ΔABC ∼ ΔA’BC’ are similar. Proof Note first that ΔAA’C’ and ΔCA’C’ clearly have … ## Trigonometric Identities

A Trigonometric identity or trig identity is an identity that contains the trigonometric functions sine(sin), cosine(cos), tangent(tan), cotangent(cot), secant(sec), or cosecant(csc). Trigonometric identities can use to: Simplify trigonometric expressions. Solve trigonometric equations. Prove that one trigonometric expression is equivalent to another so that we can replace the first expression by the second expression. The following … ## Role of Euclidean Geometry in High-School Mathematics

If only because in one’s “further” studies of mathematics, the results (i.e., theorems) of euclidean geometry appear only infrequently, this subject has come under frequent scrutiny, especially over the past 50 years, and at various stages, its very inclusion during a high-school mathematics curriculum has even been challenged. However, as long as we still think … ## Perimeter of Circle

In Perimeter of circle lesson, we are going to discuss, What is the Perimeter of circle or circumference of circle Circumference equation or circumference formula Perimeter of semicircle Perimeter of quarter circle Perimeter of sector What is the Perimeter of Circle Before moving into perimeter let’s recall some knowledge about key features of circle. Center …