convert to rectangular form r=6csc theta

Question

sidsiddhartha · Answer

use y=rsin(theta) and x=rcos(theta)
now tan(theta)=y/x
so calculate cosec(theta) 
its=csc(theta) = sqrt(x^2+y^2)/y
and r=sqrt(x^2+y^2)
now just substitute

asnaseer · Answer

@ddd231 - do you know what csc(theta) is in terms of the standard sin/cos/tan functions?

anonymous · Answer

yes, and is the answer y=6?

asnaseer · Answer

correct

sidsiddhartha · Answer

yup very good

anonymous · Answer

is there no need for x to be shown in the answer?

asnaseer · Answer

so your equation can be written as:$$r=6\csc(\theta)=6/\sin(\theta)$$if you multiply both sides by $\sin(\theta)$ you should get to the desired answer very quickly

asnaseer · Answer

there is no x in the answer as this equation represents the line y=6

anonymous · Answer

oh ok thank you both

asnaseer · Answer

np :)

anonymous · Answer

If both of you all still have time I want to check my work with another problem. @asnaseer @sidsiddhartha

anonymous · Answer

This is another conversion from polar to rectangular form. 
r=4/(1+2sin(theta))
would that become 3y^2=x^2?

asnaseer · Answer

@ddd231 - please post each question separately. That way each question is self contained and more focused towards a particular question. So can you please close this question and post the new one in the list to the left.

Thanks.

anonymous · Answer

ah, alright sorry