Length: 12
Width: 4 since 12x4=48 and length is 3 times as long as it is wide.
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:
20 degrees
Step-by-step explanation:
every triangle had 3 angles that all add up to 180
the problem gives you two angles which are 120+40 which is 160
180-160 is 20 degrees which is whi it is the answer
Answer:
ans:
- option B
- option A
- option B
- option A
Step-by-step explanation:
for two triangle to be congruent corresponding sides and angle must be equal
D. It is not a function because there are multiple outputs for one input.
