Law of Cosines | Desmos

Credit for the crucial reminder I needed for these formulas (as well as some Pre-Calc nostalgia) goes to Wolfram Mathworld:

29

http://mathworld.wolfram.com/LawofCosines.html

30

Expression 31:

31

Expression 32: theta Subscript, 1 , Baseline equals arc cosine left parenthesis, StartFraction, left parenthesis, "A" squared plus "C" squared minus "B" squared , right parenthesis Over 2 "A" "C" , EndFraction , right parenthesis equals 90

equals

90

32

Expression 33: theta Subscript, 2 , Baseline equals arc cosine left parenthesis, StartFraction, left parenthesis, "A" squared plus "B" squared minus "C" squared , right parenthesis Over 2 "A" "B" , EndFraction , right parenthesis equals 45

equals

45

33

Expression 34: theta Subscript, 3 , Baseline equals arc cosine left parenthesis, StartFraction, left parenthesis, "B" squared plus "C" squared minus "A" squared , right parenthesis Over 2 "B" "C" , EndFraction , right parenthesis equals 45

equals

45

34

35

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