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

The value of cos(30)+tan(60) is (sqrt(3))/2+sqrt(3)

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cos(30)+tan(60)

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

\frac{3}{2} + 3

Decimal Notation

2.59807 \dots

Solution steps

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

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

cos (3 0^{\circ})

cos (x)

periodicity table with

36 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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{3}{2}

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}{2} + 3

arcsin (\frac{10}{18})

cos (\frac{π}{2} + \frac{π}{3})

arccos (\frac{1}{3})

arctan ((tan (9^{\circ}))^{2} + (tan (1^{\circ}))^{2})

1 - cos (6 0^{\circ}) - 2 sin^{2} (3 0^{\circ})

What is the value of cos(30)+tan(60) ?
The value of cos(30)+tan(60) is (sqrt(3))/2+sqrt(3)