What is the value of (2tan(pi/(12)))/(1-tan^2(pi/(12))) ?

The value of (2tan(pi/(12)))/(1-tan^2(pi/(12))) is (sqrt(3))/3

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(2tan(pi/(12)))/(1-tan^2(pi/(12)))

\frac{2 tan ( \frac{π}{12} )}{1 - tan ^{2} ( \frac{π}{12} )}

\frac{3}{3}

Solution steps

\frac{2 tan ( \frac{π}{12} )}{1 - tan ^{2} ( \frac{π}{12} )}

Rewrite using trig identities:

tan (\frac{π}{6})

= tan (\frac{π}{6})

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

= \frac{3}{3}

500 cos (3 0^{\circ})

cot (arcsin (\frac{3}{5}))

4 cos (\frac{3 π}{2})

arccos (\frac{7}{8})

tan (\frac{- 3 π}{4})

What is the value of (2tan(pi/(12)))/(1-tan^2(pi/(12))) ?
The value of (2tan(pi/(12)))/(1-tan^2(pi/(12))) is (sqrt(3))/3