find the value of the summation.\$\\sum_{k=0}^{11} \\sin(\\pi k) =\$

$find the value of the summation.\$\\sum_{k=0}^{11} \\sin(\\pi k) =\$$

find the value of the summation.\$\sum_{k=0}^{11} \sin(\pi k) =\$

$\sin(\pi \cdot 0) = \sin(0) = 0$

$\sin(\pi \cdot 1) = \sin(\pi) = 0$

For any integer $k$, $\sin(\pi k) = 0$

$\sum_{k=0}^{11} 0 = 0 + 0 + \dots + 0$

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