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
The answer would be 4.5 because 5% of 90= 4.5.
Hope this helped! :)
25*8.14=?
Multiply the cost of the book per person ($8.14) by the number of people (25).
Answer:
3/17
Step-by-step explanation:
multicolored and 1 passenger (3) over total (17)
3/17 doesn't simplify
Answer:
Yes, this is linear.
y = -4x
Step-by-step explanation:
12x = 7y - 10y
12x = -3y
-3y = 12x
/ -3 /-3
y = -4x + 0
Please mark me brainliest if this helped, thank you!
