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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 } }

Question 4

Multiple Choice

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 } }


A) 2\sqrt { 2 }
B) 33\frac { \sqrt { 3 } } { 3 }
C) 3\sqrt { 3 }
D) 22\frac { \sqrt { 2 } } { 2 }
E) 1

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