Problem

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

Solution

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

From Solvely APP
Source: https://solvelyapp.com/problems/34615/

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