Question

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

Answer 1

@geerky42

Answer 2

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

Answer 3

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

Answer 4

Seems simple enough, is that all?

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

Seems simple enough, is that all?