The equivalent polar coordinates for the given rectangular coordinates: $( 5,\ 180^{\circ} )$

The equivalent polar coordinates for the given rectangular coordinates:
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Concepts used: Conversion formula for coordinate systems are given as:
a) From polar to rectangular:
$\left[x=r\mathrm{cos}\theta y=r\mathrm{sin}\theta \right]$
b) From rectangular to polar:

$\mathrm{cos}\theta =\frac{x}{r}$
$\mathrm{sin}\theta =\frac{y}{r}$
Calculation:
Given rectangular coordinate is .
Here $\left[r=5,\theta ={180}^{\circ }\right]$.
Converrting into equivalent rectangular coordinates:
$x=r\mathrm{cos}\theta$

And $\left[y=r\mathrm{sin}\theta$

Hence, desired equivalent rectangular coordinates would be