Law of Cosines: The Generalized Pythagorean Theorem
The Law of Cosines generalizes the Pythagorean Theorem to any triangle. See when to use it in SAS and SSS cases, how to calculate sides and angles, and practical applications.
Trigonometric ratios, the unit circle, and the laws of sines and cosines explained clearly.
Articles in path
5
Slug
trigonometria
Category
Trigonometry
The Law of Cosines generalizes the Pythagorean Theorem to any triangle. See when to use it in SAS and SSS cases, how to calculate sides and angles, and practical applications.
The Law of Sines relates sides and opposite angles in any triangle. See when to apply it, how to handle the ambiguous case, and practical examples.
Understand why 30°, 45°, and 60° have exact values and how to derive the complete table from two simple triangles, without relying on rote memorization.
The unit circle extends sine, cosine, and tangent to any real angle. Understand quadrants, signs, periodicity, and the fundamental identity.
Discover how sine, cosine, and tangent relate angles and sides of a right triangle, and how to use them to solve everyday problems.