Hello-- I have four equations I simply can't figure out:
r=cot(theta)csc(theta)
r=8sin(theta)
r=2cos(theta)sin(theta)
rsin(theta+pi/6)=2
I tried squaring each of these in hopes of finding something to work with, but I'm lost...please help!!
Hello-- I have four equations I simply can't figure out:
r=cot(theta)csc(theta)
r=8sin(theta)
r=2cos(theta)sin(theta)
rsin(theta+pi/6)=2
I tried squaring each of these in hopes of finding something to work with, but I'm lost...please help!!
Hello, riverjib!
Do you mean "polar to rectangular"?
We need the conversion formulas:
.
We have: .
Multiply by
Substitute: .
Then: .
Square both sides: .
Multiply by
Substitute: .
Multiply by
Substitute: .
Square both sides: .
We have: .
Multiply by 2: .
Substitute: .
Thank you! I did 40 problems like this successfully, and got stumped on these four almost two hours ago. I actually figured out just before you posted that I could multiply one side by r as long as I did the same to the other side (big duh! on my part), and that solved the problem of the missing r's. But I was still stuck on the fourth equation, and you helped me just as I was beginning to lose my mind.