How do you convert #(17,-2)# into polar coordinates?

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Answer 1 · 2018-07-06T12:38:49

The polar coordinates are #=(17.12, -6.71^@)#

To convert from rectangular coordinates #(x,y)# to polar coordinates #(r,theta)#, apply the following

#{(x=rcostheta),(y=rsintheta),(r=sqrt(x^2+y^2)),(tantheta=y/x):}#

Here,

The rectangular coordinates are #=(17,-2)#

#r=sqrt((17)^2+(-2)^2)=sqrt(293)=17.12#

And

#theta=arctan(-2/17)=-6.71^@#

The polar coordinates are #=(17.12, -6.71^@)#