Mathematics - Trigonometry - Advanced - Law of sines and cosines - Laws for Non-Right Triangles
7 steps: (1) SOH-CAH-TOA only works for RIGHT triangles. For ANY triangle, we need new tools. (2) LAW OF SINES: a/sinA = b/sinB = c/sinC. Use when: AAS, ASA, or SSA (ambiguous case). (3) Example: A=40°, B=70°, a=10. Find b: 10/sin40°=b/sin70° → b=14.62. (4) LAW OF COSINES: c²=a²+b²-2ab·cosC. Use whe