## Question

###### Practice QuestionsIn cach part, list the nubers askerl for. Use trigonometry to simplily your MSWCTS Hch {5 possible. preferably so the sine ad cosine finctions do not appear in YOur anSWeTS. (For exaple; one of the twellth roots of unity is COS 22 + i sin 22 Note thac %5 & radians is 309 _ If you recall (or calculate) that the cosine ad sine of a 309 angle are v and { respeetively, then you can write this numher as Yi+i: ! J+ There are eleven other twellth roots of unity:) As general fact,

Practice Questions In cach part, list the nubers askerl for. Use trigonometry to simplily your MSWCTS Hch {5 possible. preferably so the sine ad cosine finctions do not appear in YOur anSWeTS. (For exaple; one of the twellth roots of unity is COS 22 + i sin 22 Note thac %5 & radians is 309 _ If you recall (or calculate) that the cosine ad sine of a 309 angle are v and { respeetively, then you can write this numher as Yi+i: ! J+ There are eleven other twellth roots of unity:) As general fact, il you calculate 2 cOS 2) +isin 4 then equation (3) shows that each of the other n-th roots of unity is a power o 2. Find the two second roots (also calledl square roots) of unity: 2. Find the three third roots (or cuhe roots) o unity: Find the four fourth roots of unity: 4. Find the six sixth roots of unity: