Answer:
The solution is given below:
Step-by-step explanation:
As we know the value of k and r so the equation will be
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
Answer:
Step-by-step explanation:
Answer:
Debbie's Deals has the better deal with a price of $0.19 per ounce compared to Bill's Bargains at $0.21 per ounce.
Step-by-step explanation:
Divide $3.36 by 16 = $0.21
Divide $7.60 by 40 = $0.19
Debbie's Deals sells the Circle O's cereal for a cheaper per ounce price thus it's the better price and the better deal.
Good luck!
X = 3/4
So substitute x for 3/4 in <span> 2/3x
(3/4) x (2/3)
Now solve
</span>(3/4) x (2/3) = 1/2 or 0.5
