Rectangular to Polar Form of Complex Number
Overview:
Convert between coordinate types. See the Schedule in the Syllabus Module for due dates.
Video Review:
- Need a review? Watch the following Khan Academy video on converting between rectangular and polar coordinates:
- (Optional): Practice the concept on the Khan Academy site before posting.
- After watching the video, make sure you can correctly convert the following to rectangular form:
8(cos(π6)+isin(π6))
- Answer:
43√−4i
- Now, can you convert the answer above back to the initial polar number?
Instructions
- For your first and second post, create two polar numbers.
- Put the polar number in the subject line.
- For your third post, select a classmate’s initial posts and convert their polar number to a rectangular number.
- Please show all of your work using equation editor (or do it by hand and scan or take a picture of your work)
- For your fourth post, select a different classmate’s post (make sure someone has already replied to their initial post by converting their number to a rectangular number) and convert the rectangular number back to a polar number.
- Does the polar number match the initial number? If not, can you figure out why?
- Please show all of your work using equation editor (or do it by hand and scan or take a picture of your work)
- For this discussion, it is very important to check back on your posts. If someone replies with a question to your post, make sure to reply.
Discussion Criteria:
- For this discussion you need to post four (4) times.
- Your first and second posts are creating two polar numbers in two separate posts (put the number in the subject line)
- Your third post is replying one of your classmate’s polar numbers and converting their polar number to a rectangular number (show work).
- Your fourth post is to reply to a different classmate who has already received a reply (meaning their polar number has been converted to a rectangular number) and convert the number back to the polar number.
- Show all your work.