First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
Answer:
x= 3/2 or x=1.5
Step-by-step explanation:
subtract 17 to the other side of the equation.
Next you divide both sides of the equation by 4.
You have your answer :)
48:42
16:14
56:49
I hope this helps.
The answer to 5,22 as a fraction is 5/22
Sry but I don’t know the answer I just have two answer 2 questions so I don’t have to watch a video