Solve \tan(15^{\circ})

Evaluate

tan (1 5^{\circ})

Use tan (t) = \frac{sin ( 2 t )}{1 + cos ( 2 t )} to transform the expression

\frac{sin ( 3 0 ^{\circ} )}{1 + cos ( 3 0 ^{\circ} )}

Add the terms

More Steps

\frac{sin ( 3 0 ^{\circ} )}{\frac{2 + 3}{2}}

Multiply by the reciprocal

sin (3 0^{\circ}) \times \frac{2}{2 + 3}

Multiply the terms

\frac{sin ( 3 0 ^{\circ} ) \times 2}{2 + 3}

Multiply the terms

More Steps

\frac{1}{2 + 3}

Multiply by the Conjugate

\frac{2 - 3}{( 2 + 3 ) ( 2 - 3 )}

Multiply the numbers

More Steps

\frac{2 - 3}{1}

Solution

2 - 3

Alternative Form

\approx 0.267949