Question

Find the quotient of the following complex numbers
x=5(cos15 + isin15)
y= 3(cos70 + isin70)

Express your answer in trigonometric form.

Answer 1

\(\large \bf \cfrac{r_1[cos(\alpha)+isin(\alpha)]}{r_2[cos(\beta)+isin(\beta)]}\implies \cfrac{r_1}{r_2}[cos(\alpha - \beta)+isin(\alpha - \beta)]
\)

Answer 2

Okay... so it would be 5/3(cos305 + isin305)?

Answer 3

5/3 is right.. .... 15 - 70 = 305?

Answer 4

hmmm ohh.. I see.. you're using the positive angle... then yes

Answer 5

My thanks

Answer 6

yw