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【General guidance】The answer provided below has been developed in a clear step by step manner.Step1/2Solution :- We know that \( \mathrm{{x}={r}{\cos{{\left(\theta\right)}}},{y}={r}{\sin{{\left(\theta\right)}}}} \)and \( \mathrm{{x}^{{2}}+{y}^{{2}}={r}^{{2}}} \)Also \( \mathrm{{\tan{{\left(\theta\right)}}}=\frac{{y}}{{x}}} \)so we get \( \mathrm{\theta={{\tan}^{{-{{1}}}}{\left(\frac{{y}}{{x}}\right)}}} \ ... See the full answer