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Write the following complex number in rectangular form. 6(cos π/ 4+ isin π/ 4)
6(cos π/ 4 + i sin π/ 4) =
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form a+bi. Rationalize all​ denominators.)

Write the following complex number in rectangular form 6cos π 4 isin π 4 6cos π 4 i sin π 4 Simplify your answer Type an exact answer using radicals as needed U class=

Respuesta :

[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]

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