Question 281
Multiple Choice
Find all specified roots. -Seventh roots of 1. 1 . 1.
A) − 1 , cis π 7 , cis 2 π 7 , cis 3 π 7 , cis 4 π 7 , cis 5 π 7 , cis 6 π 7 - 1 , \operatorname { cis } \frac { \pi } { 7 } , \operatorname { cis } \frac { 2 \pi } { 7 } , \operatorname { cis } \frac { 3 \pi } { 7 } , \operatorname { cis } \frac { 4 \pi } { 7 } , \operatorname { cis } \frac { 5 \pi } { 7 } , \operatorname { cis } \frac { 6 \pi } { 7 } − 1 , cis 7 π , cis 7 2 π , cis 7 3 π , cis 7 4 π , cis 7 5 π , cis 7 6 π B) 1 , cis 2 π 7 , cis 4 π 7 , cis 6 π 7 , cis 8 π 7 , cis 10 π 7 , cis 12 π 7 , − 1 1 , \operatorname { cis } \frac { 2 \pi } { 7 } , \operatorname { cis } \frac { 4 \pi } { 7 } , \operatorname { cis } \frac { 6 \pi } { 7 } , \operatorname { cis } \frac { 8 \pi } { 7 } , \operatorname { cis } \frac { 10 \pi } { 7 } , \operatorname { cis } \frac { 12 \pi } { 7 } , - 1 1 , cis 7 2 π , cis 7 4 π , cis 7 6 π , cis 7 8 π , cis 7 10 π , cis 7 12 π , − 1 C) 1 , cis 2 π 7 , cis 4 π 7 , cis 6 π 7 , cis 8 π 7 , cis 10 π 7 , cis 12 π 7 1 , \operatorname { cis } \frac { 2 \pi } { 7 } , \operatorname { cis } \frac { 4 \pi } { 7 } , \operatorname { cis } \frac { 6 \pi } { 7 } , \operatorname { cis } \frac { 8 \pi } { 7 } , \operatorname { cis } \frac { 10 \pi } { 7 } , \operatorname { cis } \frac { 12 \pi } { 7 } 1 , cis 7 2 π , cis 7 4 π , cis 7 6 π , cis 7 8 π , cis 7 10 π , cis 7 12 π D) 1 , cis π 7 , cis 2 π 7 , cis 3 π 7 , cis 4 π 7 , cis 5 π 7 , cis 6 π 7 1 , \operatorname { cis } \frac { \pi } { 7 } , \operatorname { cis } \frac { 2 \pi } { 7 } , \operatorname { cis } \frac { 3 \pi } { 7 } , \operatorname { cis } \frac { 4 \pi } { 7 } , \operatorname { cis } \frac { 5 \pi } { 7 } , \operatorname { cis } \frac { 6 \pi } { 7 } 1 , cis 7 π , cis 7 2 π , cis 7 3 π , cis 7 4 π , cis 7 5 π , cis 7 6 π
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