Well, I think in my opinion is n
Answer:
I think C 45 blocks are the right answer.
B, because there are 6 lines that are shaded green.
Answer:
The complex number
has Cartesian form
.
Step-by-step explanation:
First, we need to recall the definition of
when
is a complex number:
.
Then,
. (I)
Now, recall the definition of the complex exponential:
.
So,
![e^{2i-3} = e^{-3}(\cos 2+i\sin 2)](https://tex.z-dn.net/?f=e%5E%7B2i-3%7D%20%3D%20e%5E%7B-3%7D%28%5Ccos%202%2Bi%5Csin%202%29)
(we use that
.
Thus,
![e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)](https://tex.z-dn.net/?f=e%5E%7B2i-3%7D%2Be%5E%7B-2i%2B3%7D%20%3D%20e%5E%7B-3%7D%5Ccos%202%2Bie%5E%7B-3%7D%5Csin%202%20%2B%20e%5E%7B3%7D%5Ccos%202-ie%5E%7B3%7D%5Csin%202%29)
Now we group conveniently in the above expression:
.
Now, substituting this equality in (I) we get
.
Thus,
![\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)](https://tex.z-dn.net/?f=%5Cexp%5Cleft%28%5Ccos%282%2B3i%29%5Cright%29%20%3D%20%5Cexp%5Cleft%28%5Ccosh%203%5Ccos%202-i%5Csinh%203%5Csin%202%5Cright%29)
.
Answer:
1.x=(z/4)-y
2.b=(e-cd)/a
Step-by-step explanation:
1.
z=4(x+y)
Divide both sides by 4
z/4=x+y
Subtract y from both sides
(z/4)-y=x
Answer
x=(z/4)-y
2.
ab+cd=e
subtract cd from both sides
ab=e-cd
divide both sides by a
b=(e-cd)/a
Answer
b=(e-cd)/a