iota to the power of iota=?

Asked by Atul Manjhi | 31st Jul, 2014, 06:29: PM

Expert Answer:

w e space k n o w space t h a t space e to the power of i t end exponent equals cos space t space plus thin space i space sin space t i equals e to the power of i straight pi over 2 end exponent rightwards double arrow i to the power of i equals open square brackets e to the power of i straight pi over 2 end exponent close square brackets to the power of i equals e to the power of i cross times i straight pi over 2 end exponent equals e to the power of i squared straight pi over 2 end exponent equals e to the power of minus straight pi over 2 end exponent  therefore space i to the power of i equals e to the power of minus straight pi over 2 end exponent

Answered by Dharma Teja | 1st Aug, 2014, 08:05: AM