De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
3 x 1/8 bottom left. The third one
Answer:
0 Kesha is already home 8+4 is 12 and it's 12 miles from the store to her house .-.
Step-by-step explanation:
Step-by-step explanation:
c 64:24
divided by 8
8 : 3
D 220 : 5
divided by 5
44 : 1
Answer:
You mean thousandths?
It’s 1.891
Step-by-step explanation:
The thousandths place is the 3rd digit to the right of the decimal. 5-4=1
