Write the sum without sigma notation and evaluate it.
-$$\sum _ { k = 1 } ^ { 4 } 2 \sin \frac { \pi } { k }$$
A) $2 \sin \pi + 2 \sin \frac { \pi } { 4 } = \sqrt { 2 }$
B) $2 \sin \pi + 2 \sin \frac { \pi } { 2 } + 2 \sin \frac { \pi } { 3 } + 2 \sin \frac { \pi } { 4 } = 1 + \frac { \sqrt { 3 } + \sqrt { 2 } } { 2 }$
C) $2 \sin \pi + 2 \sin \frac { \pi } { 2 } + 2 \sin \frac { \pi } { 3 } + 2 \sin \frac { \pi } { 4 } = 6 + \sqrt { 2 }$
D) $2 \sin \pi + 2 \sin \frac { \pi } { 2 } + 2 \sin \frac { \pi } { 3 } + 2 \sin \frac { \pi } { 4 } = 2 + \sqrt { 3 } + \sqrt { 2 }$

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The Answer of Write the sum without sigma notation and evaluate it.
-$$\sum _ { k = 1 } ^ { 4 } 2 \sin \frac { \pi } { k }$$
A) $2 \sin \pi + 2 \sin \frac { \pi } { 4 } = \sqrt { 2 }$
B) $2 \sin \pi + 2 \sin \frac { \pi } { 2 } + 2 \sin \frac { \pi } { 3 } + 2 \sin \frac { \pi } { 4 } = 1 + \frac { \sqrt { 3 } + \sqrt { 2 } } { 2 }$
C) $2 \sin \pi + 2 \sin \frac { \pi } { 2 } + 2 \sin \frac { \pi } { 3 } + 2 \sin \frac { \pi } { 4 } = 6 + \sqrt { 2 }$
D) $2 \sin \pi + 2 \sin \frac { \pi } { 2 } + 2 \sin \frac { \pi } { 3 } + 2 \sin \frac { \pi } { 4 } = 2 + \sqrt { 3 } + \sqrt { 2 }$

Write the Sum Without Sigma Notation and Evaluate It ∑k=142sin⁡πk\sum _ { k = 1 } ^ { 4 } 2 \sin \frac { \pi } { k }k=1∑4​2sinkπ​

Write the Sum Without Sigma Notation and Evaluate It $\sum _ { k = 1 } ^ { 4 } 2 \sin \frac { \pi } { k }$