PreCalc/Math
posted by Yadira .
Prove Identity: (1cos2x/ tan x) = sin2x

I think the parentheses are in the wrong place. It should probably read:
(1cos2x)/tan x = sin2x
Again, split everything into sin and cos, and don't forget the identities:
cos(2x)=cos²(x)sin²(x)
sin(2x)=2sin(x)cos(x)
(1cos(2x))/tan(x)
=(1(cos²(x)sin²(x))*(cos(x)/sin(x))
=(1(12sin²(x))*cos(x)/sin(x)
=2sin²(x)*cos(x)/sin(x)
=2sin(x)cos(x)
=sin(2x)