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

question 4

Multiple Choice

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

• A) \(\sqrt { 2 }\)
• B) \(\frac { \sqrt { 3 } } { 3 }\)
• C) \(\sqrt { 3 }\)
• D) \(\frac { \sqrt { 2 } } { 2 }\)
• E) 1

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