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## Homework Statement

(c) Show that ##tan(x) + cot(x) \equiv 2csc(2x)##

(d) Hence or otherwise, find the coordinates of the local maximum and local minimum points of the graph of ##y = tan(2x) + cot(2x), 0≤x≤\frac{π}{2}##

## Homework Equations

Most likely a lot of different trigonometric formulas to help with this, but I'm not sure which specifically.

## The Attempt at a Solution

I've proven that ##tan(x) + cot(x) \equiv 2csc(2x)##, but I don't know what to do next. I can see that my current equation is a compression of the previous one, but I don't know how that plays into finding the local maximum and minimum.

Any suggestions will be greatly appreciated. Thanks!