Perform the Operation and Leave the Result in Trigonometric Form $$\left( \cos 80 ^ { \circ } + i \sin 80 ^ { \circ } \right) \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)$$

Perform the operation and leave the result in trigonometric form.​ $$\left( \cos 80 ^ { \circ } + i \sin 80 ^ { \circ } \right) \left( \cos 330 ^ { \circ } + i \sin 330 ^ { \circ } \right)$$ ​

A) $\cos 50 ^ { \circ } - i \sin 50 ^ { \circ }$
B) ​ $\frac { 1 } { 2 } \left( \cos 50 ^ { \circ } - i \sin 50 ^ { \circ } \right)$
C) ​ $\frac { 1 } { 2 } \left( \cos 80 ^ { \circ } + i \sin 80 ^ { \circ } \right)$
D) ​ $\frac { 1 } { 2 } \left( \cos 50 ^ { \circ } + i \sin 50 ^ { \circ } \right)$
E) ​ $\cos 50 ^ { \circ } + i \sin 50 ^ { \circ }$

Correct Answer:

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