Get motivated… try this quiz Understand the problem In the range 0f ( 0 leq x leq 2 pi ) , the equation ( cos (sin (x) ) = frac{1}{2} ) has how many solutions? Tutorial Problems… try these before watching the video. 1. Show geometrically that ( cos ( ...

Get motivated… try this quiz Understand the problem Arithmetic mean and Geometric mean are useful algebraic tools. They have beautiful geometric interpretation as well. The following video takes a tour into the ideas. Tutorial Problems… try these before...

Get motivated… try this quiz Understand the problem Let P be a regular 12 sided polygon. How many right triangles can be formed by the vertices of P? Tutorial Problems… try these before watching the video. 1. Show that a regular 12 sided polygon must be...

Understand the problem Consider a paper in the shape of an equilateral triangle ABC with circumcenter O and perimeter 9 units, If we fold the paper in such a way that each of the vertices A, B, C gets identified with O then the area of the resulting shape in the...

Every week we dedicate an hour to Beautiful Mathematics – the Mathematics that shows us how Beautiful is our Intellect. This week, I decided to do three beautiful proofs in this one-hour session… Proof of Fermat’s Little Theorem ( via Combinatorics...

This article aims to give you a brief overview of Inequality, which can be served as an introduction to this beautiful sub-topic of Algebra. This article doesn’t aim to give a list of formulas and methodologies stuffed in single baggage, rather it is...