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

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

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tan(30)+tan(60)

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

\frac{3}{3} + 3

Decimal Notation

2.30940 \dots

Solution steps

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

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

= \frac{3}{3} + 3

cos (arctan (\frac{40}{9}) + arccos (\frac{7}{25}))

cos (17 2^{\circ})

tan^{2} (4 5^{\circ} + \frac{20}{2})

\frac{( sin ( 9 0 ^{\circ} ) + tan ( 0 ^{\circ} ) + sec ( 36 0 ^{\circ} ) - cot ( 9 0 ^{\circ} ) )}{2 csc ( 27 0 ^{\circ} )}

\frac{120}{sin ( 3 0 ^{\circ} )}

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