HELP establish Trig Identity: 1-2cos^2 theta/ sin theta cos theta...?

Start with the left side until it equals the right side. Please show ALL work/steps, my algebra is a little rusty and I need to remember what I can and can't do. thanks! 1-2cos^2 theta/ sin theta cos theta = tan theta - cot theta or written to see easier: 1 - 2cos^2(x) / sin(x) cos(x) = tan(x) - cot(x) show more Start with the left side until it equals the right side. Please show ALL work/steps, my algebra is a little rusty and I need to remember what I can and can't do. thanks!

1-2cos^2 theta/ sin theta cos theta = tan theta - cot theta

or written to see easier:

1 - 2cos^2(x) / sin(x) cos(x) = tan(x) - cot(x)
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