What is the value of tan(-30) ?

The value of tan(-30) is -(sqrt(3))/3

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tan(-30)

tan (- 3 0^{\circ})

- \frac{3}{3}

Decimal Notation

- 0.57735 \dots

Solution steps

tan (- 3 0^{\circ})

Use the following property:

tan (- x) = - tan (x)

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

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

Use the following trivial identity:

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

tan (3 0^{\circ})

tan (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= \frac{3}{3}

= - \frac{3}{3}

arccsc (1)

sin^{2} (2)

sin (4 8^{\circ})

arctan (\frac{1}{1})

arctan (\frac{2}{2})