Let $z _ { 1 } = 4 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$ and $z _ { 2 } = 5 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$) Find $Z _ { 1 } Z _ { 2 }$
A) $20 + i$
B) $20 - 20 i$
C) $20$
D) $0 - 20 i$
E)none

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The Answer of Let $z _ { 1 } = 4 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$ and $z _ { 2 } = 5 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$) Find $Z _ { 1 } Z _ { 2 }$
A) $20 + i$
B) $20 - 20 i$
C) $20$
D) $0 - 20 i$
E)none

Let z1=4(cos⁡π6+isin⁡π6)z _ { 1 } = 4 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)z1​=4(cos6π​+isin6π​)

Let $z _ { 1 } = 4 \left( \cos \frac { \pi } { 6 } + i \sin \frac { \pi } { 6 } \right)$