Write the following numbers in the polar form r(cos⁡θ+isin⁡θ)\displaystyle {r}{\left({\cos{\theta}}+{i}{\sin{\theta}}\right)}, 0≤θ<2π\displaystyle {0}\le\theta<{2}\pi.
(a) 5\displaystyle {5}
r=\displaystyle {r}=   , θ=\displaystyle \theta=   ,
(b) 8i\displaystyle {8}{i}
r=\displaystyle {r}=   , θ=\displaystyle \theta=   ,
(c) −4+1i\displaystyle -{4}+{1}{i}
r=\displaystyle {r}=   , θ=\displaystyle \theta=   .

License