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...
AM GM inequality in ISI Entrance

AM GM inequality in ISI Entrance

Arithmetic Mean and Geometric Mean inequality form a foundational principle. This problem from I.S.I. Entrance is an application of that. Subscribe to our Youtube Channel to get regular updates.