What is the value of csc((13pi)/(12)) ?

The value of csc((13pi)/(12)) is -sqrt(2)(1+sqrt(3))

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csc((13pi)/(12))

csc (\frac{13 π}{12})

- 2 (1 + 3)

Solution steps

csc (\frac{13 π}{12})

Rewrite using trig identities:

\frac{1}{sin ( \frac{13 π}{12} )}

= \frac{1}{sin ( \frac{13 π}{12} )}

Rewrite using trig identities:

sin (\frac{13 π}{12}) = \frac{2 ( 1 - 3 )}{4}

= \frac{1}{\frac{2 ( 1 - 3 )}{4}}

Simplify

\frac{1}{\frac{2 ( 1 - 3 )}{4}} : - 2 (1 + 3)

= - 2 (1 + 3)

sin (2 \cdot 3 5^{\circ})

\frac{tan ( 2 )}{tan ( 4 )}

sin (\frac{π}{2} 3)

arccos (1.3)

sin (4 8^{\circ}) (15.3)

What is the value of csc((13pi)/(12)) ?
The value of csc((13pi)/(12)) is -sqrt(2)(1+sqrt(3))