Question 738583
{{{(csc^2(x)-cot^2(x))/cot(x)=tan(x)}}}
Start with left side:
{{{(csc^2(x)-cot^2(x))/cot(x)
=(1/sin^2(x)-cot^2(x))/cot(x)
=(1/sin^2(x)-cos^2(x)/sin^2(x))/cot(x)=((1-cos^2(x))/sin^2(x))/(cos(x)/sin(x))
=cross(sin^2(x))/cross(sin^2(x))*sin(x)/cos(x)=sin(x)/cos(x)=tan(x)}}}