The answer would be B.) Theorem :)
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
Answer:
<h3>1952.00</h3><h3>I=976</h3>
Step-by-step explanation:
<u><em>SIMPLE INTEREST FORMULA:</em></u>
I- Interest
P- Principal
R- Rate
T-Time
P=976
R=25
T=4 years
976*25%4
25%=0.25
Solve.
Multiply.
976*0.25*4
976*0.25*4=976
I=976
976 and $1952.00, which is our answer.
Answer:
0/8
Step-by-step explanation:
Slope equals y 2 minus y 1 divided by x 2 minus x 1
-2-(-2)/6-(-2)
0/8