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Module 7: Applications Quick Ref
Law of Sines
a/sinA = b/sinB = c/sinC
AAS, ASA, SSA
Law of Cosines
c² = a²+b²−2ab cosC
SAS, SSS
Area
A = (1/2)ab sinC
Heron: √[s(s−a)(s−b)(s−c)]
s = (a+b+c)/2
Vectors
v = ⟨a,b⟩ | |v| = √(a²+b²)
v = |v|⟨cosθ,sinθ⟩
Unit: v/|v|
SSA Ambiguous Case
h=bsinA | a<h: 0 | a=h: 1(right) | h<a<b: 2 | a≥b: 1