Find the exact value of sin(arctan( for full credit, explain your reasoning.

Step-by-step explanation:

hey there,

< First, do arctan(2). Arctan is the same as , which means trying to find the angle.

tan = O/A = 2/1

If you put that in a triangle, and look at your reference triangles, you can see the angle is 60 degrees. So arctan(2) = 60°.

Then, do the next part which would be sin(60).

sin = O/H = 2/√3

Continue simplifying and you will get  . >

Hope this helped! Feel free to ask anything else.

equal to

Step-by-step explanation:

The y intercept is when x = 0.

In the function y=-2x+8, when x=0, y=8.

In the graph, when x=0, y=8. You can see on the x axis 0 is in the middle, and if you move up the y axis, you see the line intersects y=8.

Thus both have the same y intercepts of 8.

please give thanks :)

hope this helps