SATACTMath_AI_
Syllabus/Trigonometry (ACT)
02ACT Math

Law of Sines & Cosines

Law of Sines & Cosines

Law of Sines

a/sin(A) = b/sin(B) = c/sin(C)

Use when you know: AAS, ASA, or SSA (ambiguous case)

Law of Cosines

c² = a² + b² - 2ab·cos(C)

Use when you know: SAS or SSS

Area of Any Triangle

Area = ½ab·sin(C)

ACT Tips

  • These formulas are NOT provided on the ACT
  • Law of Cosines is a generalization of the Pythagorean theorem
  • For SSA (side-side-angle), check for the ambiguous case
  • Law of Sines & Cosines | ACT Math Prep