Explanation of how y=sin(x) and y=cos(x) is developed from the Unit Circle

I need tons of help on this, please help. Be sure to include explanations of where the values on the x-axis and the y-axis come from on the graph of the function.

y= sin(x) and y = cos(x)
where x is the angle (θ).
you know that sin(θ) = opposite/hypotenuse = y/h
cos(θ) = adjacent/hypotenuse=x/h
now if you have a right triangle, (with an adjacent side, opposite side, and a hypotenuse)
you could place it in an xy graph and create a circle out of it.
- The Hypotenuse is the radius of the circle.
- The circle would provide sign conventions.
if you had a triangle with x = -3 and y = -4 in the xy plot, you could easily find the angle using trigonometric functions. To find the hypotenuse (h) you would need Pythagorean Theorem a^2+b^2=c^2 . The result would give you a -3 , -4, 5 side lengths in the triangle in the 3rd quadrant.

the xy plot comes into play when you need to put the triangle in the negative x and negative y direction. where x = length of triangle side, y =length of the other triangle side.

In summary: imagine a triangle in the circle...and the triangle have angles depending on the sides and lengths of the triangle.

You need to look up the definition of sine and cosine using the unit circle.

Plenty of references in the Web and your textbook.

From your question, you haven't bothered looking any of this up, let alone studying it.