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 $=(17.12, -6.71^@)$

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