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Question

If sin cubed space x sin space 3 x equals sum from m equals 0 to 6 of   c subscript m cos to the power of w space x where c subscript 0 comma c subscript 1 comma horizontal ellipsis comma c subscript 6 are constants, then

  1. c subscript 0 plus c subscript 2 plus c subscript 4 plus c subscript 6 equals 0
  2. c subscript 1 plus c subscript 3 plus c subscript 5 equals 6
  3. 2 c subscript 2 plus 3 c subscript 6 equals 0
  4. c subscript 4 plus 2 c subscript 6 equals 0

The correct answer is: c subscript 0 plus c subscript 2 plus c subscript 4 plus c subscript 6 equals 0

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