cos(sin(x)) function in ISI Entrance

cos(sin(x)) function in ISI Entrance

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 ( ...
Geometry of AM GM Inequality

Geometry of AM GM Inequality

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...
Counting triangles in ISI Entrance

Counting triangles in ISI Entrance

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...
Paper folding geometry in ISI Entrance

Paper folding geometry in ISI Entrance

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...

An Hour of Beautiful Proofs

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...
Inequality – In Equality

Inequality – In Equality

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...