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:
<h2>here's the answer</h2>
Step-by-step explanation:



The second one is the best answer in my opinion i'm not sure.
Answer:
6/5
Step-by-step explanation:
Put 1 where x is and solve.
3·1 -5y = -3
-5y = -6 . . . . . subtract 3
y = 6/5 . . . . . . divide by -5
The value of y is 6/5 when x = 1.
Answer:
see below
Step-by-step explanation:
The graph of y=10 is the graph of all the points (x, 10) for any value of x. Each one of those points is 10 units above the x-axis. Together, those points make a horizontal line where y = 10 (!).