How to Calculate Trigonometry
What is Trigonometry?
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.
Step-by-Step 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
Worked Examples
Input
sin(30°)
Result
= 0.5 · cos(60°) = 0.5 · tan(45°) = 1