What is 2e^{-(ipi)/2}+2/(1+e^{-\frac{ipi){2}}} ?

The solution to 2e^{-(ipi)/2}+2/(1+e^{-\frac{ipi){2}}} is -2i+2/(1-i)

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simplify 2e^{-(ipi)/2}+2/(1+e^{-\frac{ipi){2}}}

simplify

2 e^{- \frac{iπ}{2}} + \frac{2}{1 + e ^{- \frac{iπ}{2}}}

- 2 i + \frac{2}{1 - i}

Solution steps

2 e^{- \frac{iπ}{2}} + \frac{2}{1 + e ^{- \frac{iπ}{2}}}

2 e^{- \frac{iπ}{2}} = - 2 i

= - 2 i + \frac{2}{e ^{- \frac{iπ}{2}} + 1}

1 + e^{- \frac{iπ}{2}} = 1 - i

= - 2 i + \frac{2}{1 - i}

\frac{60}{120}

\frac{y ^{5}}{y ^{2}}

\frac{( 3 y ^{5} ) ^{4}}{6 y ^{7}}

2 \frac{1}{7}

(3 + 9 i)^{2}

What is 2e^{-(ipi)/2}+2/(1+e^{-\frac{ipi){2}}} ?
The solution to 2e^{-(ipi)/2}+2/(1+e^{-\frac{ipi){2}}} is -2i+2/(1-i)