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)
Answer:
2.5
Step-by-step explanation:
3x=x+5
2x=5
x=5/2 or x=2.5
Answer:
x = 1, y = 7
Step-by-step explanation:
If y = -3x - 4, then
6x -3x -4 = 1
3x - 4 =-1
3x = 3
x = 1
If x = 1, then
y = -3*1 -4 = -3 -4 = -7
Answer:
13.8
Step-by-step explanation:
Percent just means per one hundred.
So 15 * 1/100 * 92 = x.
15/100 * 92 = x
x = 13.8