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: 5 is your answer hope this helped
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Step-by-step explanation:
-18.8 or abosolute value 18.8
Answer:
Reflection, Triangle B is a reflection of A
Step-by-step explanation:
Reflection <em>is when we flip a figure over.
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Translation <em>is when we slide a figure in any direction.
</em>
Rotation <em>is when we rotate a figure a certain degree around a point.
</em>
Dilation <em>is when we enlarge or reduce a figure.</em>
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Hello there!
Jenny wants to park in an airport parking lot. The parking lot costs x amount of money per hour, plus an additional parking fee of $10. Jenny stays in the parking lot for 3 hours.
This causes our equation to be 3x (3 hours) + 10 (additional parking fee).
I hope this helps!
