Question 306
Multiple Choice Find all specified roots. -Sixth roots of i.
A) cis 3 π 4 , cis 17 π 12 , cis 25 π 12 , cis 11 π 4 , i \operatorname { cis } \frac { 3 \pi } { 4 } , \operatorname { cis } \frac { 17 \pi } { 12 } , \operatorname { cis } \frac { 25 \pi } { 12 } , \operatorname { cis } \frac { 11 \pi } { 4 } , \mathrm { i } cis 4 3 π , cis 12 17 π , cis 12 25 π , cis 4 11 π , i B) cis π 12 , cis 3 π 4 , cis 17 π 12 , cis 25 π 12 \operatorname { cis } \frac { \pi } { 12 } , \operatorname { cis } \frac { 3 \pi } { 4 } , \operatorname { cis } \frac { 17 \pi } { 12 } , \operatorname { cis } \frac { 25 \pi } { 12 } cis 12 π , cis 4 3 π , cis 12 17 π , cis 12 25 π C) cis π 12 , cis 3 π 4 , cis 17 π 12 , cis 25 π 12 , cis 11 π 4 , 1 \operatorname { cis } \frac { \pi } { 12 } , \operatorname { cis } \frac { 3 \pi } { 4 } , \operatorname { cis } \frac { 17 \pi } { 12 } , \operatorname { cis } \frac { 25 \pi } { 12 } , \operatorname { cis } \frac { 11 \pi } { 4 } , 1 cis 12 π , cis 4 3 π , cis 12 17 π , cis 12 25 π , cis 4 11 π , 1 D) cis π 12 , cis 5 π 12 , cis 3 π 4 , cis 7 π 4 , cis 13 π 12 , 17 π 12 \operatorname { cis } \frac { \pi } { 12 } , \operatorname { cis } \frac { 5 \pi } { 12 } , \operatorname { cis } \frac { 3 \pi } { 4 } , \operatorname { cis } \frac { 7 \pi } { 4 } , \operatorname { cis } \frac { 13 \pi } { 12 } , \frac { 17 \pi } { 12 } cis 12 π , cis 12 5 π , cis 4 3 π , cis 4 7 π , cis 12 13 π , 12 17 π
Correct Answer:
Verified
Unlock this answer now Get Access to more Verified Answers free of charge
Access For Free