What is the value of tan((3pi)/(12)) ?

The value of tan((3pi)/(12)) is 1

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tan((3pi)/(12))

tan (\frac{3 π}{12})

1

Solution steps

tan (\frac{3 π}{12})

Simplify:

\frac{3 π}{12} = \frac{π}{4}

\frac{3 π}{12}

Cancel the common factor:

3

= \frac{π}{4}

= tan (\frac{π}{4})

Use the following trivial identity:

tan (\frac{π}{4}) = 1

tan (\frac{π}{4})

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}

= 1

= 1

sin (5483 2^{\circ})

csc^{2} (\frac{7 π}{4})

ln (3^{2} + 4^{3} - 0^{4}) + cos (3 + 4) + 0^{2}

cos (\frac{3 π}{4} - \frac{11 π}{6})

e^{- 1} cos (1)