Question

Simplify sin(arctan(x))

Answer 1

You can only take sine of angles right? \[\LARGE \sin(\theta)\]So that means that stuff inside has to be an angle. \[\LARGE \theta = \arctan(x)\] But that means we can change this thing around like this: \[\LARGE \tan(\theta)=x\] Now can you draw a right triangle that matches thiis? So now, can you find \[\LARGE \sin(\theta)\]