Harder 3U inverse trig question! (1 Viewer)

[turntaker]

Simplify <a href="http://www.codecogs.com/eqnedit.php?latex=2tan^{-1}\frac{y}{x}=tan^{-1}z" target="_blank"><img src="http://latex.codecogs.com/gif.latex?2tan^{-1}\frac{y}{x}=tan^{-1}z" title="2tan^{-1}\frac{y}{x}=tan^{-1}z" /></a>, write Z as a function of x and y.

help will be appreciated.

 

[Carrotsticks]

Try applying the tangent function to both sides first, and letting y/x be theta so z=tan(2theta)=....