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🎯 Welcome to Day 2 of the Calculus Confidence Course by MforMathodology 📘✨ In this session, we build the trigonometric foundation required for calculus. Instead of memorizing formulas, we focus on concepts, geometry, and logic behind trigonometric functions. This lecture covers trigonometry exactly the way it is used in calculus, real analysis, and higher mathematics. 📌 What You’ll Learn in This Video ✔ What is a function — concept + definition ✔ Functions as transformation rules (input → output) ✔ Domain and Range explained step by step ✔ Red flags that make functions undefined: Denominator = 0 Negative values under square roots Logarithms of zero or negative numbers ✔ Continuous vs Discontinuous functions ✔ Vertical Line Test — how to check if a graph is a function ✔ Real-world application of functions (area of a circle example) 🧠 Key Idea to Remember A function must assign exactly one output to every input. If one input gives more than one output — it’s not a function. 00:00 – Introduction to the Course 02:10 – What is a Function? 06:30 – Functions as Transformation Rules 10:45 – Domain & Range Explained 18:20 – Red Flags That Break Functions 27:00 – Continuous vs Discontinuous Functions 31:40 – Vertical Line Test 36:10 – Real-World Example of Functions 40:00 – Summary & What’s Next 💡 Whether you're a college student, Olympiad participant, or just a math geek, this channel will make higher mathematics feel like magic! ✨ 📌 Subscribe NOW and let’s conquer math together! 🚀 🔔 Hit the bell icon to never miss an upload, 📩 For Collabs & Business Inquiries: mathodology1@gmail.com