Question

Find the product of the following complex numbers
x=3(cosπ/4 + sinπ/4)
y=7(cos3π/8 + sin 3π/8)
Express your answer in trigonometric form.

Answer 1

same as before then \(\bf \cfrac{r_1[cos(\alpha)+isin(\alpha)]}{r_2[cos(\beta)+isin(\beta)]}\implies \cfrac{r_1}{r_2}[cos(\alpha - \beta)+isin(\alpha - \beta)]\)

Answer 2

h... shoot is the product... well ...

Answer 3

\(\bf r_1[cos(\alpha)+isin(\alpha)]\cdot r_2[cos(\beta)+isin(\beta)]
\\ \quad \\
\implies r_1\cdot r_2[cos(\alpha + \beta)+isin(\alpha + \beta)]\)

Answer 4

There we are. Thanks. I just couldn't find that equation anywhere!

Answer 5

yw