Finding the Value of sin(arctan(3)): Inverse Trig Functions Homework

[fghtffyrdmns]

Homework Statement

Determine $$sin(arctan(3))$$

The Attempt at a Solution

I do not know how to start this. No special triangles : (.

 

[rock.freak667]

You try putting A=tan^-1(3)

in which you would need to determine sinA.

 

[fghtffyrdmns]

You try putting A=tan^-1(3)

in which you would need to determine sinA.

ahhh so could I write $$sinA = \theta$$?

 

[rock.freak667]

Well I was thinking more along the lines of if A=arctan(3), then you can get tanA

and your problem was to find sin(arctan(3)) which becomes sin(A), which you can find by drawing suitable right angled triangles.