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Question: The value of \(\text{cosech}\left( \frac{\pi i}{6} \right)\) is....

The value of cosech(πi6)\text{cosech}\left( \frac{\pi i}{6} \right) is.

A

– 2

B

2

C

– 2 i

D

2 i

Answer

– 2 i

Explanation

Solution

cosech(πi6)=i cos⥂ec(πi26)=−i cos⥂ec(π6)=−i.2=−2i\text{cosech}\left( \frac{\pi i}{6} \right) = i\text{ cos} ⥂ \text{ec}\left( \frac{\pi i^{2}}{6} \right) = - i\text{ cos} ⥂ \text{ec}\left( \frac{\pi}{6} \right) = - i.2 = - 2i.