The answer is c because the variable behind the number s are equal
<span>First of all, we need to put commas in the number so it would look less confusing
309 , 099 , 990
Hundred million hundred of thousnd Hundred
So the correct way to say it would be : three hundred nine million ninety nine thousand nine hundred and ninetyHope this helps. Let me know if you need additional help!</span>
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:
n = 12.3
Step-by-step explanation:
I'm assuming we're looking for n, to find it, we need to isolate it.
Our equation will be solved through PEMDAS :
Parenthesis
Exponent
Multiply/Divide
Add/Subtract
n / 10^2 = 0.123
Get rid of the exponent by applying it to 10,
10^2 = 100
n/100 = 0.123
Now to get rid of the division, multiply the denominator (100) to both sides.
n/100 * 100 = 0.123 * 100
n = 12.3
