What is the value of csc((17pi)/3) ?

The value of csc((17pi)/3) is -(2sqrt(3))/3

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csc((17pi)/3)

csc (\frac{17 π}{3})

- \frac{2 3}{3}

Solution steps

csc (\frac{17 π}{3})

csc (\frac{17 π}{3}) = csc (\frac{5 π}{3})

= csc (\frac{5 π}{3})

Rewrite using trig identities:

\frac{1}{sin ( \frac{5 π}{3} )}

= \frac{1}{sin ( \frac{5 π}{3} )}

Rewrite using trig identities:

sin (\frac{5 π}{3}) = - \frac{3}{2}

= \frac{1}{- \frac{3}{2}}

Simplify

\frac{1}{- \frac{3}{2}} : - \frac{2 3}{3}

= - \frac{2 3}{3}

- 4 sin (\frac{π}{4}) + 4 cos (\frac{π}{4})

3.55 cos (\frac{π}{6} 7) + 19.15

arccos (0.40371)

arctan (\frac{1.51}{1})

2 (\frac{3.5 5 ^{2}}{1 sin ( 4 0 ^{\circ} )} + 9.81)

What is the value of csc((17pi)/3) ?
The value of csc((17pi)/3) is -(2sqrt(3))/3