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=90 °
Step-by-step explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants = 
The sum of measure of arcs inany circle is 360°.
Minor arc is given as x°.So Major arc = 360-x.
Substituting the given values in the formula :
x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.
Hey there!
When we say coordinate pair, we usually express our pair in the form of:
(x, y)
This means the point on the x axis is first, and the point on the y is second in the parenthetical format of coordinates. We know that the x coordinate is the horizontal one, while the y is vertical.
If we start with the x axis, we see that our point, G, is just below the number 2. That means our x coordinate is 2. For the y coordinate, we see that the point is directly lined up with the -3, therefore our y coordinate is -3.
Therefore, our coordinates are (2, -3).
Hope this helps!
Answer:
Factoring
Step-by-step explanation:
and 
The x intercept is 9 and the y is 3
