Pythagorean trigonometric identity

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

Explores trigonometric addition and subtraction formulas, demonstrating their application in calculating trigonometric values efficiently.

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Covers angle measurement using radians and degrees, including unit conversion and trigonometric circle symmetries.

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

Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.

Explores triangle bisectors, locus of equidistant points, and incenter intersection.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.

Explores the best quadratic approximation in Euclidean spaces, emphasizing least squares.