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

The value of csc(-pi/(12)) is -sqrt(6)-sqrt(2)

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csc(-pi/(12))

csc (- \frac{π}{12})

- 6 - 2

Solution steps

csc (- \frac{π}{12})

Use the following property:

csc (- x) = - csc (x)

csc (- \frac{π}{12}) = - csc (\frac{π}{12})

= - csc (\frac{π}{12})

Rewrite using trig identities:

csc (\frac{π}{12}) = 6 + 2

= - (6 + 2)

Simplify

= - 6 - 2

cos (2 arccos (0.5))

arcsin (\frac{1.52 \cdot sin ( 5 1 ^{\circ} )}{1.33})

\frac{20}{tan ( 1 5 ^{\circ} )}

cos (4 0^{\circ}) + cos (8 0^{\circ}) + cos (10 0^{\circ}) + cos (12 0^{\circ}) + cos (14 0^{\circ})

4 cos (π + \frac{π}{4})

What is the value of csc(-pi/(12)) ?
The value of csc(-pi/(12)) is -sqrt(6)-sqrt(2)