Trigonometric equation.

$\textbf{If $\mathbf{S=(sin\;x+sin\;2x+sin\;4x)^5 -(-sin\;x+sin\;2x+sin\;4x)^5-(sin\;x-sin\;2x+sin\;4x)^5-(sin\;x+sin\;2x-sin\;4x)^5$}}$\\\\ $\textbf{Then Calculate value of $\mathbf{S}$ at $\mathbf{x=20^0}$}.

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