Solveeit Logo
Login

Question

Question: \(\sec h(\pi i) + co\text{sech}\left( \frac{\pi}{2}i \right)\) equals...

sec⁡h(πi)+cosech(π2i)\sec h(\pi i) + co\text{sech}\left( \frac{\pi}{2}i \right) equals

A

1−i1 - i

B

−1+i- 1 + i

C

−1−i- 1 - i

D

1+i1 + i

Answer

−1−i- 1 - i

Explanation

Solution

sec⁡h(πi)+cosech(π2i)\sec h(\pi i) + co\text{sech}\left( \frac{\pi}{2}i \right)= sec⁡π−icosec π2=−1−i\sec\pi - i\text{cosec }\frac{\pi}{2} = - 1 - i