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Trigonometry studies relationships between angles and sides of triangles. Beyond right triangles, the law of sines and law of cosines handle any triangle. Trigonometric identities simplify complex expressions.
Trinn-for-trinn guide
- 1Law of Sines: a/sin(A) = b/sin(B) = c/sin(C)
- 2Law of Cosines: c² = a² + b² − 2ab×cos(C)
- 3Pythagorean identity: sin²θ + cos²θ = 1
- 4Sum formulas: sin(A+B) = sinA×cosB + cosA×sinB
Løste eksempler
Inndata
sin(30°)
Resultat
= 0.5 · cos(60°) = 0.5 · tan(45°) = 1