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Lecture
Trigonometric Equations: Basics
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Harmonic Oscillations: Graphs
Explores the construction of graphs for harmonic oscillations with different amplitudes and phases.
Reciprocal Trigonometric Functions
Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.
Integration Techniques: Part 2
Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.
Functions Composition: Continuity & Elements
Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.
Mathematical Reminders: Trigonometry
Covers mathematical reminders on trigonometry, focusing on angles in radians and trigonometric functions.
Complex Numbers: Polar Form, Powers, Roots
Explores complex numbers in polar form, powers, and roots, including trigonometric relationships and rotation matrices.
Trigonometric Equations: Bioche Rule
Explains the Bioche rule for solving trigonometric equations using substitutions and tests of invariance.
Complex Hyperbolic and Trigonometric Functions
Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.
Derivatives of Trigonometric Functions
Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.
Triangle Relations: Sinus Theorem
Explores triangle relationships, including the Sinus Theorem and circumscribed circles.