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Maths-

General

Easy

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

$c_{0} + c_{2} + c_{4} + c_{6} = 0$
$c_{1} + c_{3} + c_{5} = 6$
$2 c_{2} + 3 c_{6} = 0$
$c_{4} + 2 c_{6} = 0$

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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