001- INTRODUCTION TO TRIGONOMETRY | A LEVEL PURE MATHEMATICS | FOR SENIOR FIVE AND SENIOR SIX (UNEB)

LearnIt With Emmanuel proudly presents Episode 001 of the A-Level Pure Mathematics series — an in-depth Introduction to Trigonometry designed for Senior Five and Senior Six UNEB students. In this lesson, Mr. Emmanuel Olega (Mathematics Teacher & Software Engineer) breaks down the fundamentals of trigonometry — from the meaning of trigonometry to proofs, equations, and worked UNEB examples. 🔍 What You’ll Learn: -Meaning and importance of trigonometry -Types of triangles (right-angled, equilateral, isosceles) -Sine, Cosine, and Tangent definitions using SOH-CAH-TOA -Pythagoras theorem and trigonometric identities -Reciprocal identities and Pythagorean identities -Deriving standard values (sin 30°, cos 60°, tan 45°, etc.) -Proving trigonometric identities step-by-step -UNEB-style questions and worked examples This video is ideal for students offering Principle Mathematics in combinations like PCM, BCM, PEM, PMT, PMA, MEG, MET, MEF, MEA, and anyone revising for U.A.C.E Examinations. 🎓 “Your grades are the stepping-stones to your future. Stick with me through this series and we’ll unlock the math you once thought was impossible.” — Emmanuel Olega 📘 Chapters 0:00 Introduction 0:24 What is Trigonometry 2:00 Types of Triangles 4:00 Right-Angled Triangles 5:00 SOH-CAH-TOA Explained 8:00 Reciprocal & Pythagorean Identities 11:00 Equilateral Triangle Derivations 15:00 Isosceles Triangle Derivations 18:00 Trigonometric Proofs 27:00 Exercises & Conclusion