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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.
دليل خطوة بخطوة
- 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
أمثلة محلولة
الإدخال
sin(30°)
النتيجة
= 0.5 · cos(60°) = 0.5 · tan(45°) = 1