What is the value of -csc(60) ?

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

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-csc(60)

- csc (6 0^{\circ})

- \frac{2 3}{3}

Decimal Notation

- 1.15470 \dots

Solution steps

- csc (6 0^{\circ})

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}

= - \frac{2 3}{3}

2 cos^{2} (4 8^{\circ}) - 1

sin (\frac{3 π}{5}) cos (\frac{4 π}{15}) - cos (\frac{3 π}{5}) sin (\frac{4 π}{15})

\frac{cos ( \frac{π}{6} )}{sin ( \frac{π}{4} )}

cos (\frac{2 π}{3}) cos (\frac{7 π}{6}) - sin (\frac{2 π}{3}) sin (\frac{7 π}{6})

6 cos (15 0^{\circ})