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Use the Addition Formulas for Tangent to Simplify the Expression tan2π7tan5π421+tan2π7tan5π42\frac { \tan \frac { 2 \pi } { 7 } - \tan \frac { 5 \pi } { 42 } } { 1 + \tan \frac { 2 \pi } { 7 } \tan \frac { 5 \pi } { 42 } }

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Use the addition formulas for tangent to simplify the expression. tan2π7tan5π421+tan2π7tan5π42\frac { \tan \frac { 2 \pi } { 7 } - \tan \frac { 5 \pi } { 42 } } { 1 + \tan \frac { 2 \pi } { 7 } \tan \frac { 5 \pi } { 42 } }


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