Blog Posts
Explore maths study guides, curriculum insights, revision strategies and helpful articles across IB, Cambridge, HSC, VCE, QCE, WACE, SACE, NCEA, Leaving Certificate and Singapore Mathematics.
Integration using Trigonometric Properties
Read more: Integration using Trigonometric PropertiesTrigonometric properties such as the sum of squares of sine and cosine with the same angle are one,$$ \displaystyle \sin^2{\theta} + \cos^2{\theta} = 1…
Circle Geometry with Semicircles
Read more: Circle Geometry with SemicirclesThere are many properties of circle geometry with semi-circles, such as Worked on an Example of Circle Geometry with Semi Circles (a) Explain…
Volumes by Cylindrical Shells Method
Read more: Volumes by Cylindrical Shells MethodLet’s consider the problem of finding the volume of the solid obtained by rotating about the \(x\)-axis or parallel to \(x\)-axis of the region,…
Integrating Binomial Expansions
Read more: Integrating Binomial ExpansionsIntegrating Binomial Expansion is used to evaluate certain series or expansions by substituting particular values after integrating binomial expansion. It is important to find…
Probability Ratio using Combination
Read more: Probability Ratio using CombinationCounting Techniques for Probability Ratio using Combination The probability ratio of an event is the likelihood of chance that the event will occur due…
AM-GM Inequality Secrets: A Comprehensive Guide
Read more: AM-GM Inequality Secrets: A Comprehensive GuideWelcome to the comprehensive guide on one of the fundamental concepts in mathematics, the Arithmetic Mean-Geometric Mean (AM-GM) inequality. Whether you’re a math enthusiast…
Trigonometric Proof using Compound Angle Formula
Read more: Trigonometric Proof using Compound Angle FormulaThere are many areas to apply the compound angle formulas, and trigonometric proof using the compound angle formula is one of them. $$ \begin{aligned}…
Math Made Easy: Simplifying Function Discovery with Differential Equations
Read more: Math Made Easy: Simplifying Function Discovery with Differential EquationsWelcome to the world of mathematics, where equations and functions dance together in a beautiful symphony of numbers and symbols. Today, we’ll embark on…
Solving Quadratic Puzzles: The Power of Nested Square Roots
Read more: Solving Quadratic Puzzles: The Power of Nested Square RootsQuadratic equations have been a staple of mathematics for centuries, and their importance extends far beyond the classroom. They appear in various scientific disciplines,…
