This is a Test of Mathematics Solution Subjective 116 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
If A, B, C are the angles of a triangle, then show that
We apply Jensen’s Inequality and Arithmetic Mean – Geometric Mean inequality here. Since cosine function is concave in the interval , we have
- What is this topic: Properties of triangle
- What are some of the associated concept: Jensen Inequality, Arithmetic Mean-Geometric Mean Inequality
- Where can learn these topics: I.S.I. & C.M.I. Entrance Course of Cheenta, discusses these topics in the ‘Inequality’ module.
- Book Suggestions: ‘Secrets in Inequality’ by Pam Kim Hung