Law of Cosines
Även känd som: Cosine Rule
c^2 = a^2 + b^2 - 2ab\cos(C)
c² = a² + b² - 2ab·cos(C)Vad den beräknar
Generalizes the Pythagorean theorem to any triangle. When C = 90°, cos(C) = 0 and it reduces to a² + b² = c².
variabler
| Symbol | Namn | Beskrivning |
|---|---|---|
| a, b, c | Sides | The three sides of a triangle |
| C | Angle | The angle opposite to side c |
Arbetade exempel
1
c² = 25 + 49 - 2(5)(7)cos(60°)2
c² = 74 - 70(0.5) = 74 - 35 = 393
c = √39 ≈ 6.24Resultat: c ≈ 6.24
Prova en kalkylator
Relaterade formler
#trigonometry#triangle#advanced