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Question

In capital delta A B C comma R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals

  1. 1capital delta    
  2. 3 capital delta    
  3. 2 capital delta    
  4. 4 capital delta    

The correct answer is: 2 capital delta


    Given R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals
    R to the power of 2 end exponent( 4 blank s i n blankAsinBsin C)
    equals 4 a to the power of 2 end exponent cross times fraction numerator a over denominator 2 a end fraction cross times fraction numerator b over denominator 2 a end fraction cross times fraction numerator c over denominator 2 a end fraction equals fraction numerator a b c over denominator 2 R end fraction equals 2 capital delta.

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