Put the complex number : (sin 10 + i cos 10) in  polar form.

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{Polar} \mathrm{form} \mathrm{of} \mathrm{z}=\mathrm{x}+\mathrm{iy} \mathrm{is} \left|\mathrm{z}\right|\left[\cos \left(\mathrm{\theta }\right)+\mathrm{isin}\left(\mathrm{\theta }\right)\right], \mathrm{where} -\mathrm{\pi }<\mathrm{\theta }\le \mathrm{\pi }. \\ \mathrm{Now} \\ \mathrm{z}=\sin \left(10°\right)+\mathrm{icos}\left(10°\right) \\ =\cos \left(90°-10°\right)+\mathrm{isin}\left(90°-10°\right) \\ =\cos \left(80°\right)+\mathrm{isin}\left(80°\right) \left[\mathrm{Answer}\right] \end{gathered}$$

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