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If \displaystyle x+y+z=\pix+y+z=π prove the trigonometric …

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If \displaystyle x+y+z=\pix+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}}cot 2 x ​ +cot 2 y ​ +cotg 2 z ​ =cot 2 x ​ cot 2 y ​ cot 2 z ​
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