What is the value of tan(1/6 pi) ?

The value of tan(1/6 pi) is (sqrt(3))/3

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tan(1/6 pi)

tan (\frac{1}{6} π)

\frac{3}{3}

Decimal Notation

0.57735 \dots

Solution steps

tan (\frac{1}{6} π)

Simplify:

\frac{1}{6} π = \frac{π}{6}

\frac{1}{6} π

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 π}{6}

Multiply:

1 π = π

= \frac{π}{6}

= tan (\frac{π}{6})

Use the following trivial identity:

tan (\frac{π}{6}) = \frac{3}{3}

tan (\frac{π}{6})

tan (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= \frac{3}{3}

= \frac{3}{3}

cos (2.25)

sin (\frac{π}{4}) - \frac{π}{4}

sin^{5} (- \frac{π}{2})

\frac{sin ^{2} ( 2 )}{2}

arccos (\frac{10}{5})