All of the trigonometric functions of an angle θ can be constructed geometrically in terms of a unit circle centered at O. Given that:
Sine function
![f(\theta) = sin(\theta)](https://tex.z-dn.net/?f=f%28%5Ctheta%29%20%3D%20sin%28%5Ctheta%29)
being
Cosine function
![f(\theta) = cos(\theta)](https://tex.z-dn.net/?f=f%28%5Ctheta%29%20%3D%20cos%28%5Ctheta%29)
being
We will demonstrate the identity above. First of all, we need to square each equation, so:
![sin^{2}(\theta)= v^{2}](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%3D%20v%5E%7B2%7D)
![cos^{2}(\theta)=u^{2}](https://tex.z-dn.net/?f=cos%5E%7B2%7D%28%5Ctheta%29%3Du%5E%7B2%7D)
Adding these two equations:
![sin^{2}(\theta)+cos^{2}(\theta)=v ^{2}+u^{2}](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%2Bcos%5E%7B2%7D%28%5Ctheta%29%3Dv%20%5E%7B2%7D%2Bu%5E%7B2%7D)
But as shown in the figure, using Pythagorean theorem
![v^{2}+u^{2}](https://tex.z-dn.net/?f=v%5E%7B2%7D%2Bu%5E%7B2%7D)
is always equal to 1, then:
![sin^{2}(\theta)+cos^{2}(\theta)=1](https://tex.z-dn.net/?f=sin%5E%7B2%7D%28%5Ctheta%29%2Bcos%5E%7B2%7D%28%5Ctheta%29%3D1)
The relation to right triangles is that:
<span>The hypotenuse is always equal to 1
</span>The opposite side is equal to
![sin(\theta)](https://tex.z-dn.net/?f=sin%28%5Ctheta%29)
The adjacent side is equal to
Answer:
$0.3 per ounce.
Step-by-step explanation:
5.19/16.8=0.3
Well 4x is the slope and -6 is the y intercept so,
Plot the point (-6,0) for ur y intercept and then if you have to plot another point go up 4 and to the right 1 :)
Answer:
The correct one is the bottom choice.
Step-by-step explanation:
This is because the proportion is saying that side BC over side YZ is the same as 28 over 14. This is correct because 28 and 14 are the actual lengths of these sides of the triangle. The other choices do not relate to the same sides of both triangles.