Question 197
Multiple Choice Find all specified roots. -Fifth roots of i \mathrm { i } i .
A) cis π 5 , cis 3 π 5 , − 1 , cis 7 π 10 , cis 9 π 10 \operatorname { cis } \frac { \pi } { 5 } , \operatorname { cis } \frac { 3 \pi } { 5 } , - 1 , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 } cis 5 π , cis 5 3 π , − 1 , cis 10 7 π , cis 10 9 π B) cis π 10 , i , cis 9 π 10 , cis 13 π 10 , cis 17 π 10 \operatorname { cis } \frac { \pi } { 10 } , i , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 } cis 10 π , i , cis 10 9 π , cis 10 13 π , cis 10 17 π C) cis π 10 , cis 7 π 10 , cis 9 π 10 , cis 13 π 10 , cis 17 π 10 \operatorname { cis } \frac { \pi } { 10 } , \operatorname { cis } \frac { 7 \pi } { 10 } , \operatorname { cis } \frac { 9 \pi } { 10 } , \operatorname { cis } \frac { 13 \pi } { 10 } , \operatorname { cis } \frac { 17 \pi } { 10 } cis 10 π , cis 10 7 π , cis 10 9 π , cis 10 13 π , cis 10 17 π D) cis 2 π 5 , cis 4 π 5 , cis 6 π 5 , cis 8 π 10 , 1 \operatorname { cis } \frac { 2 \pi } { 5 } , \operatorname { cis } \frac { 4 \pi } { 5 } , \operatorname { cis } \frac { 6 \pi } { 5 } , \operatorname { cis } \frac { 8 \pi } { 10 } , 1 cis 5 2 π , cis 5 4 π , cis 5 6 π , cis 10 8 π , 1
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