find the exact value of the following expression.\n\\( \\frac { \\tan \\frac { \\pi } { 3 } + \\tan \\frac {…

find the exact value of the following expression.\n\\( \\frac { \\tan \\frac { \\pi } { 3 } + \\tan \\frac { 2 \\pi } { 3 } } { 1 - \\tan \\frac { \\pi } { 3 } \\tan \\frac { 2 \\pi } { 3 } } \\)\n\\( \\frac { \\tan \\frac { \\pi } { 3 } + \\tan \\frac { 2 \\pi } { 3 } } { 1 - \\tan \\frac { \\pi } { 3 } \\tan \\frac { 2 \\pi } { 3 } } = \\square \\)\n(simplify your answer, including any radicals. use integers or fractions for any numbers in

find the exact value of the following expression.\n\\( \\frac { \\tan \\frac { \\pi } { 3 } + \\tan \\frac { 2 \\pi } { 3 } } { 1 - \\tan \\frac { \\pi } { 3 } \\tan \\frac { 2 \\pi } { 3 } } \\)\n\\( \\frac { \\tan \\frac { \\pi } { 3 } + \\tan \\frac { 2 \\pi } { 3 } } { 1 - \\tan \\frac { \\pi } { 3 } \\tan \\frac { 2 \\pi } { 3 } } = \\square \\)\n(simplify your answer, including any radicals. use integers or fractions for any numbers in

Answer

Explanation:

Step1: Recall the tangent addition formula

The formula for (\tan(A + B)=\frac{\tan A+\tan B}{1 - \tan A\tan B}). Let (A=\frac{\pi}{3}) and (B = \frac{2\pi}{3}).

Step2: Calculate (A + B)

(A + B=\frac{\pi}{3}+\frac{2\pi}{3}=\pi)

Step3: Find the value of (\tan(A + B))

Since (\tan(\pi)=0)

Answer:

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