Answer:
θ∈{
}
Explanation:
The given equation is
![sin(2\theta )-cos(2\theta )=0](https://tex.z-dn.net/?f=sin%282%5Ctheta%20%29-cos%282%5Ctheta%20%29%3D0)
![\Rightarrow sin(2\theta )=cos(2\theta )\\\\\therefore \frac{sin(2\theta )}{cos(2\theta )}=1\\\\tan(2\theta )=1\\\\\therefore 2\theta =n\pi +\frac{\pi}{4}\\\\\therefore \theta =\frac{n\pi }{2}+\frac{\pi }{8}](https://tex.z-dn.net/?f=%5CRightarrow%20sin%282%5Ctheta%20%29%3Dcos%282%5Ctheta%20%29%5C%5C%5C%5C%5Ctherefore%20%5Cfrac%7Bsin%282%5Ctheta%20%29%7D%7Bcos%282%5Ctheta%20%29%7D%3D1%5C%5C%5C%5Ctan%282%5Ctheta%20%29%3D1%5C%5C%5C%5C%5Ctherefore%202%5Ctheta%20%3Dn%5Cpi%20%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%5C%5C%5C%5C%5Ctherefore%20%5Ctheta%20%3D%5Cfrac%7Bn%5Cpi%20%7D%7B2%7D%2B%5Cfrac%7B%5Cpi%20%7D%7B8%7D)
Applying values on 'n' we obtain values of θ that beling to [0,2π)
For n=0, θ=![\frac{\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B8%7D)
For n=1, θ =![\frac{5\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Cpi%20%7D%7B8%7D)
For n=2,θ =![\frac{9\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B9%5Cpi%20%7D%7B8%7D)
For n=3,θ =![\frac{13\pi }{8}](https://tex.z-dn.net/?f=%5Cfrac%7B13%5Cpi%20%7D%7B8%7D)
The equation that matches the graph of the greatest integer function is y = [x] - 2
<h3>How to determine the equation?</h3>
The parent function of an step function is represented as:
y = [x]
From the given graph, we can see that the lines are shifted 2 units down.
This means that:
(x,y) = (x,y - 2)
So, we have:
y = [x] - 2
Hence, the equation that matches the graph of the greatest integer function is y = [x] - 2
Read more about step function at:
brainly.com/question/4074174
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Answer:
152 ounces
Step-by-step explanation:
1 Ib (pound) = 16 ounces
9.5 Ib (pound) = 9.5 * 16 = 152 ounces
First one:
cos(A)=AC/AB=3/4.24
cos(B)=BC/AB=3/4.24
Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1
Second one:
To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).
If that's the case, AE is a transversal of parallel lines AB and DE.
And Angle A is congruent to angle E (alternate interior angles).
Therefore sin(A)=sin(E)=0.5