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Lecture
Trigonometric Functions: Properties and Limits
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Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Trigonometric Formulas: Bisection & Transformations
Covers trigonometric bisection formulas and transformations between sums and products.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Complex Numbers: Polar Form, Powers, Roots
Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.
Trigonometric Equations: Elementary Solutions
Covers the resolution of trigonometric equations, focusing on elementary solutions.
Trigonometry: Angle Transformation and Trigonometric Functions
Demonstrates how to find the exact value of trigonometric functions for specific angles.
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Rotation of a Vector
Explores the rotation of vectors in a plane using trigonometric functions.
Limits and Operations on Limits
Covers limits, algebraic operations, and infinite limits with examples of functions' behavior near limit points.
Trigonometric Functions: Tangent and Cotangent
Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.