What is the value of (2tan(15))/(1-tan^2(15)) ?

The value of (2tan(15))/(1-tan^2(15)) is (sqrt(3))/3

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(2tan(15))/(1-tan^2(15))

\frac{2 tan ( 1 5 ^{\circ} )}{1 - tan ^{2} ( 1 5 ^{\circ} )}

\frac{3}{3}

Solution steps

\frac{2 tan ( 1 5 ^{\circ} )}{1 - tan ^{2} ( 1 5 ^{\circ} )}

Rewrite using trig identities:

tan (3 0^{\circ})

= tan (3 0^{\circ})

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

= \frac{3}{3}

cos (1 π)

2 sin (\frac{5 π}{4})

arccos (\frac{1}{5})

tan (arctan (1))

cos (4 1^{\circ})

What is the value of (2tan(15))/(1-tan^2(15)) ?
The value of (2tan(15))/(1-tan^2(15)) is (sqrt(3))/3