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.

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