What is e^{ipi-1.176i} ?

The solution to e^{ipi-1.176i} is -0.38462…+0.92307…i

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simplify e^{ipi-1.176i}

simplify

e^{iπ - 1.176 i}

- 0.38462 \dots + 0.92307 \dots i

Solution steps

e^{iπ - 1.176 i}

Apply imaginary number rule:

e^{ia} = cos (a) + i sin (a)

= cos (π - 1.176) + i sin (π - 1.176)

Rewrite using trig identities

= cos (π - 1.176) + 0.92307 \dots i

cos (π - 1.176) = - 0.38462 \dots

= - 0.38462 \dots + 0.92307 \dots i

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