I'm having some more difficulties with these two.

This one is I'm supposed to find the solutions in interval $\displaystyle [0,2pi)$

$\displaystyle cos(x)=sin(\frac{x}2)$

This is what I've done so far but I'm unsure how to continue:

$\displaystyle cos(x)=\sqrt{(\frac{1-cos(x)}2)}$

$\displaystyle cos^2(x)=(\frac{1-cos(x)}2)$

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For the second problem

It is determining if its a identity

$\displaystyle cos(x)csc(x)tan(x)=1$

I began it like this:

$\displaystyle cos(x)\frac{1}{sin(x)}\frac{sin(x)}{cos(x)}=1$