Mathematical Functions

Related lectures (57)

Explores the principle of superposition for harmonic oscillations and provides geometric interpretations and examples.

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Covers trigonometric bisection formulas and transformations between sums and products.

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Explores the construction of graphs for harmonic oscillations with different amplitudes and phases.

Explores trigonometric addition theorem, double angles, and tangent properties.

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

Covers examples of trigonometric, logarithmic, and exponential functions.

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

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

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

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

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

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

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.

Explores the cosine theorem in triangles, analyzing side and angle relationships.

Covers the definition of sine and cosine functions, their graphs, and notable points.

Explores the derivation of elementary and trigonometric functions, including sine, cosine, and tangent.

Introduces the basics of solving trigonometric equations through examples and various techniques.

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