3sqrt((cospi/2 + isinpi/2)). can someone help me with this to get into polar form
3sqrt((cospi/2 + isinpi/2)).
can someone help me with this to get into polar form
\(\begin{array}{|rcll|} \hline && 3\cdot \sqrt{ \cos(\frac{\pi}{2}) + i\cdot \sin(\frac{\pi}{2}) } \\ &=& 3\cdot [ \cos(\frac{\pi}{2}) + i\cdot \sin(\frac{\pi}{2}) ]^{\frac12}\\\\ && \text{Euler's formula: } & e^{ix} = \cos(x)+i\cdot \sin(x) \\ && & e^{i\frac{\pi}{2}} = \cos(\frac{\pi}{2})+i\cdot \sin(\frac{\pi}{2}) \\ &=& 3\cdot [ \cos(\frac{\pi}{2}) + i\cdot \sin(\frac{\pi}{2}) ]^{\frac12}\\ &=& 3\cdot ( e^{i\frac{\pi}{2}} )^{\frac12}\\ &=& 3\cdot e^{i\frac{\pi}{2}\cdot \frac12} \\ &=& 3\cdot e^{ i\frac{\pi}{4} } \\\\ && \text{Euler's formula: } & e^{ix} = \cos(x)+i\cdot \sin(x) \\ && & e^{i\frac{\pi}{4}} = \cos(\frac{\pi}{4})+i\cdot \sin(\frac{\pi}{4}) \\ &=& 3\cdot [ \cos(\frac{\pi}{4})+i\cdot \sin(\frac{\pi}{4}) ] \\ \hline \end{array}\)