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Prove the Identity cot(x+y)cot(xy)=1tan2xtan2ytan2xtan2y\cot ( x + y ) \cot ( x - y ) = \frac { 1 - \tan ^ { 2 } x \tan ^ { 2 } y } { \tan ^ { 2 } x - \tan ^ { 2 } y }

question 151

Essay

Prove the identity.
- cot(x+y)cot(xy)=1tan2xtan2ytan2xtan2y\cot ( x + y ) \cot ( x - y ) = \frac { 1 - \tan ^ { 2 } x \tan ^ { 2 } y } { \tan ^ { 2 } x - \tan ^ { 2 } y }


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