Mathematical Functions

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Trigonometric Functions: Basics and Applications

Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.

Rotation of a Vector

Explores the rotation of vectors in a plane using trigonometric functions.

Exponential Functions: Important Examples

Explores important examples of exponential functions and their limits, including lim (1 + ²)² = 0 and lim ex as x→∞.

Angle and Functions

Delves into fundamental special functions like trigonometric, logarithmic, and exponential functions, emphasizing the concept of angles in various applications.

Trigonometric Functions: Right Triangle

Introduces trigonometric functions in right triangles, exploring angles, ratios, and special values.

Expressions and Operators: Basics of C++

Covers expressions, operators, literals, arithmetic operations, integer division, and mathematical functions in C++.

Logarithmic Functions: Properties and Applications

Explores the properties and applications of natural logarithmic functions, including area invariance and harmonic series divergence.

Trigonometric Equations

Focuses on solving trigonometric equations using different methods, leading to the identification of the solution set.

Triangle Relations: Sinus Theorem

Explores triangle relationships, including the Sinus Theorem and circumscribed circles.

Derivatives of Trigonometric Functions

Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.