## anonymous one year ago Write each expression in the standard form for a complex number, a + bi. [(1 / 2)(cos(72°)) + isin(72°)]5 [√1(cos(3π /14)) + isin(3π /14)]7 [√5(cos(5π / 16)) + isin(5π / 16)]4 [3√7(cos(π / 18)) + isin(π / 18)]6

1. anonymous

@geerky42

2. anonymous

@geerky42 Can you help me? You don't have to explain every problem, just help me understand the basics

3. anonymous

take the number out front and raise it to the power then multiply the angle by the power

4. anonymous

Seems simple enough, is that all?

5. anonymous

$(\frac{1}{2}\left(\cos(72^\circ)+i\sin(72^\circ)\right)^5$ $=\frac{1}{2^5}\left(\cos(72\times 5)+i\sin(72\times 5)\right)$

6. anonymous

yes it is real easy of course you still have to do the arithmetic, then evaluate the functions

7. anonymous

$\frac{1}{32}\left(\cos(360)+i\sin(360)\right)$ $\frac{1}{32}\left(1+0\right)$$\frac{1}{32}$

8. anonymous

Seems simple enough, is that all?