30 ! anyone good at math pls !

find the exact value of sin(arctan( explain full reasoning in detail, .

Step-by-step explanation:

To solve this, all we need to do is draw a triangle.  

From the we can deduce that

From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is  

Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse

This gives us the value of which is our answer.

add an image

step-by-step explanation:

square pyramid

step-by-step explanation:

square prism looks like nothing like that

triangular prism has a rectangular base instead of a square base

tetrahedron has a triangular base