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

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

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tan(60)+csc(60)

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

3 + \frac{2 3}{3}

Decimal Notation

2.88675 \dots

Solution steps

tan (6 0^{\circ}) + csc (6 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:

csc (6 0^{\circ}) = \frac{2 3}{3}

csc (6 0^{\circ})

csc (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} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 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} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

= \frac{2 3}{3}

= 3 + \frac{2 3}{3}

cos (29.984 6^{\circ})

arcsin (0.68055)

6 cos (36 0^{\circ})

\frac{10.8828}{tan ( 3 0 ^{\circ} )}

cot (\frac{19 π}{12})

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