Question 821182
Prove the identity:
Sin2x (tan x + cot x) = 2 
{{{sin(2x)(tan(x)+cot(x))=2}}}
start with left side:
{{{sin(2x)(tan(x)+cot(x))}}}
..
{{{2sin(x)cos(x)(sin(x)/cos(x))+(cos(x)/sin(x))}}}
..
{{{2sin(x)cos(x)(sin^2(x)+cos^2(x))/(cos(x)sin(x))}}}
..
{{{2sin(x)cos(x)(1)/(cos(x)sin(x))=2}}}
.,
verified: left side=right side