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Pythagorean trigonometric identity
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Related lectures (31)
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Trigonometric Circle: Interpretation and Applications
Explores the interpretation of angles on the trigonometric circle and its applications in circular motion.
Trigonometric Functions: Tangent and Cotangent
Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.
Time-dependent Diffusion: Fourier Trick
Explores the Fourier Trick for time-dependent diffusion problems in a Cartesian system.
Complex Numbers: Exponential Formulas
Covers the activation process of a home connection and explores exponential formulas, Euler's formula, and complex equations.
Mathematical Reminders: Trigonometry
Covers mathematical reminders on trigonometry, focusing on angles in radians and trigonometric functions.
Cutting Speeds: Cutting, Shearing, Friction, Material Removal Rate
Explores cutting speeds, material removal rates, and dilation effects during cutting processes.
Trigonometry Equations
Covers solving trigonometric equations and finding solutions on the unit circle.
Differential Calculation: Trigonometric Derivatives
Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.
Functions: Elementary Functions
Covers elementary functions like tan(x), sin(x), and cos(x) along with trigonometric identities and Pythagorean theorem.
Triangle Resolution: Trigonometric Functions
Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.
Trigonometric Functions: Basics and Applications
Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.
Trigonometric Formulas: Addition and Subtraction
Explores trigonometric addition and subtraction formulas, demonstrating their application in calculating trigonometric values efficiently.
Orthogonality and Scalar Product
Explores orthogonality, scalar product, and orthonormal bases in vector spaces.
Angle Measurement: Radians and Degrees
Covers angle measurement using radians and degrees, including unit conversion and trigonometric circle symmetries.
Symmetries of Trigonometric Functions
Explores the symmetries of trigonometric functions, periodicity, and properties of even and odd functions.
Pythagorean Theorem
Introduces the Pythagorean theorem, explaining its geometric significance and applications in calculating areas.
Triangle Geometry: Special Lines (Part 2)
Explores triangle bisectors, locus of equidistant points, and incenter intersection.
Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
Vector Calculus: Derivatives and Products
Covers vector calculus concepts such as scalar and vector products, trigonometric circle, and derivatives of composite functions.
Quadratic Best Approximation
Explores the best quadratic approximation in Euclidean spaces, emphasizing least squares.
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