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List of trigonometric identities
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Trigonometric Functions: Sin and Cos
Covers the definition of sine and cosine functions, their graphs, and notable points.
Derivatives of Trigonometric Functions
Explores the derivatives of trigonometric functions and their geometric interpretations, including sine, cosine, and tangent functions.
Trigonometric Functions: Examples
Covers examples of trigonometric, logarithmic, and exponential functions.
Circular Motion in a Train: Mechanics
Explores circular motion in a train, discussing position, velocity, and acceleration in different frames of reference.
Angle Measurement: Radians and Degrees
Covers angle measurement using radians and degrees, including unit conversion and trigonometric circle symmetries.
Trigonometric Equations: Bioche Rule
Explains the Bioche rule for solving trigonometric equations using substitutions and tests of invariance.
Convergence of Fourier Series
Explores the convergence of Fourier series in L² space with trigonometric polynomials and approximation theorems.
Trigonometric Functions: Triangle Relations
Explains the relations in a right-angled triangle involving trigonometric functions.
Integration Techniques: Trigonometric and Hyperbolic Functions
Covers integration techniques with trigonometric and hyperbolic functions, including square roots and trigonometric identities.
Angle Measurement: Trigonometric Concepts
Explores angle measurement using a unit circle, radians, and trigonometric concepts, including clock hand movements and infinite angles.