Convert the given point from rectangular form to polar form.
\[
(6,-13)
\]
\[
\left([?],[]^{\circ}\right)
\]
Round your answer to the nearest tenth.
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Answer

\( \left(r, \, \theta \right) = \left(\sqrt{6^2 + (-13)^2}, \, \tan^{-1}(\frac{-13}{6}) \right) \)

Steps

Step 1 ：\( r = \sqrt{x^2 + y^2} = \sqrt{6^2 + (-13)^2} \)

Step 2 ：\( \theta = \tan^{-1}(\frac{y}{x}) = \tan^{-1}(\frac{-13}{6}) \)

Step 3 ：\( \left(r, \, \theta \right) = \left(\sqrt{6^2 + (-13)^2}, \, \tan^{-1}(\frac{-13}{6}) \right) \)