What is the value of tan(60)-tan(30) ?

The value of tan(60)-tan(30) is sqrt(3)-(sqrt(3))/3

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tan(60)-tan(30)

tan (6 0^{\circ}) - tan (3 0^{\circ})

3 - \frac{3}{3}

Decimal Notation

1.15470 \dots

Solution steps

tan (6 0^{\circ}) - tan (3 0^{\circ})

Use the following trivial identity:

tan (6 0^{\circ}) = 3

tan (6 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}

= 3

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}

= 3 - \frac{3}{3}

arccos (\frac{- 2}{29})

tan (arctan (- 1))

cot (- \frac{19 π}{6})

arctan (- \frac{1}{2})

arctan (\frac{5 3}{5})

What is the value of tan(60)-tan(30) ?
The value of tan(60)-tan(30) is sqrt(3)-(sqrt(3))/3