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Mathematics notes

Notes that explain the 'why', not just the formula

Every note starts with the concept, moves to solved examples and ends with the key points you must remember before an exam.

Class 10 8 min read

Real Numbers — Euclid's Division Lemma & HCF

Real Numbers

Understand divisibility, the fundamental theorem of arithmetic and how to find HCF and LCM quickly.

  • a = bq + r where 0 ≤ r < b
  • HCF × LCM = product of the two numbers
  • Proving √2 is irrational using contradiction
Class 10 10 min read

Introduction to Trigonometry — Ratios Made Easy

Introduction to Trigonometry

A simple way to remember all six ratios and the values for 0°, 30°, 45°, 60° and 90°.

  • sin θ = opposite / hypotenuse
  • sin²θ + cos²θ = 1
  • Standard angle value table with a memory trick