Lectures related to Alignment Quality: Part 1

Trigonometric Functions: Right Triangle

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

Triangle Resolution: Trigonometric Functions

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

Triangle Resolution: Trigonometry Basics

Covers the resolution of triangles using trigonometric functions to find missing sides and angles.

Trigonometric Formulas: Addition Theorem

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

Wave Equations: Vibrating String

Explores the wave equation for a vibrating string and its numerical solution using finite difference formulas and the Newmark scheme in MATLAB/GNU Octave.

Trigonometric Functions

Covers the concept of trigonometric functions and their applications in geometry.

Fourier Series: Periodic Functions and Sine/Cosine Interactions

Covers the Fourier series and interactions between sine and cosine functions.

Cosine Theorem

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

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Reciprocal Trigonometric Functions

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.