How do you convert #(1,18)# to polar form?

Question

1392 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-03T16:48:08

The answer is #(5sqrt13,1.52)#

To convert from cartesian coordinates #(x,y)# to polar coordinates, we use the following

#x=rcostheta#

#y=rsintheta#

#r^2=x^2+y^2#

#tantheta=y/x#

Here, #x=1#, and #y=18#

#r^2=1^2+18^2=1+324=325#

#r=sqrt325#

#tantheta=18#

#theta=1.52rd#

So,

The polar coordinates are #(5sqrt13,1.52)#