Lectures 9-10: Basic Trigonometry and Vectors (Remastered) скачать в хорошем качестве

Lectures 9-10: Basic Trigonometry and Vectors (Remastered)

#Trigonometry #Vectors #LearnPhysics In this double-feature lecture, we begin with a concise review of basic trigonometry, focusing on right triangles, sine and cosine definitions, and the key identity sin²θ + cos²θ = 1. We explain why trigonometry is essential in physics, especially for breaking vectors into components using angles like 30°, 45°, and 60°. At 11:38, we transition to vectors—what they are, how they differ from scalars, and how to represent them using diagrams and algebra. We cover vector addition, subtraction, and decomposition into x and y components using unit vectors î and ĵ. These are foundational skills for solving 2D motion problems in physics. Study guide with screenshots for this lecture is here: https://drive.google.com/file/d/1ITPk... Problem set for this lecture is here: https://drive.google.com/file/d/1-VUn... Problem set solution guide is here: https://drive.google.com/file/d/1aH-N... Quiz for this lecture is here: https://drive.google.com/file/d/1G5Dp... Quiz solution guide is here: https://drive.google.com/file/d/1PLmX... Chapters 0:00 – Introduction 0:49 – Lecture 9: Basic Trigonometry 3:00 – Trig Functions: Sine, Cosine, Tangent 6:00 – Degrees vs. Radians 7:00 – Common Angle Values 9:55 – Pythagorean Identity 11:38 – Lecture 10: Vectors 12:00 – Scalars vs. Vectors 13:00 – Drawing and Interpreting Vectors 14:00 – Vector Addition and Subtraction 15:30 – Components and Unit Vectors 18:00 – Using Trig to Find Components 20:00 – Final Example and Wrap-Up #Physics#Trigonometry #Vectors #PhysicsMadeSimple #ConceptualPhysics #RightTriangles #VectorAddition #SineCosineTangent #PhysicsLecture #ProdigyPhysics