if x+y+z=π prove the trigonometric identity
\displaystyle cot{\frac{x}{2}}+cot{\frac{y}{2}}+cotg\frac{z}{2}=cot{\frac{x}{2}}cot{\frac{y}{2}}cot{\frac{z}{2}}cot2x+cot2y+cotg2z=cot2xcot2ycot2z
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