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Question

If A plus cos invisible function application B plus cos invisible function application C equals 0 then cos invisible function application 3 straight A plus cos invisible function application 3 straight B plus cos invisible function application 3 straight C

  1. 4 cos invisible function application A cos invisible function application 3 B cos invisible function application 3 C
  2. 12 cos invisible function application A cos invisible function application B cos invisible function application C
  3. 8 cos invisible function application A cos invisible function application B cos invisible function application C
  4. 10 cos invisible function application A cos invisible function application B cos invisible function application C

The correct answer is: 12 cos invisible function application A cos invisible function application B cos invisible function application C


    G i v e n comma
cos A plus cos B plus cos C equals 0
T o space f i n d comma
cos 3 A plus cos 3 B plus cos 3 C
equals open parentheses 4 cos cubed A minus 3 cos A close parentheses plus open parentheses 4 cos cubed B minus 3 cos B close parentheses plus open parentheses 4 cos cubed C minus 3 cos C close parentheses
equals 4 open parentheses cos cubed A plus cos cubed B plus cos cubed C close parentheses minus 3 open parentheses cos A plus cos B plus cos C close parentheses
open parentheses because cos A plus cos B plus cos C equals 0 close parentheses
equals 4 open parentheses cos cubed A plus cos cubed B plus cos cubed C close parentheses minus 3 open parentheses 0 close parentheses
equals 4 open parentheses cos cubed A plus cos cubed B plus cos cubed C close parentheses
open parentheses I f space a plus b plus c equals 0 comma space t h e n space a cubed plus b cubed plus c cubed equals 3 a b c close parentheses
equals 4 open parentheses 3 cos A cos B cos C close parentheses
equals 12 cos A cos B cos C

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