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Popular >

simplify e^{2+2i}

Solution

simplify

e^{2 + 2 i}

Solution

e^{2} cos (2) + e^{2} i sin (2)

Solution steps

e^{2 + 2 i}

Apply imaginary number rule:

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

= e^{2} (cos (2) + i sin (2))

Rewrite

e^{2} (cos (2) + sin (2) i)

in standard complex form:

e^{2} cos (2) + e^{2} sin (2) i

= e^{2} cos (2) + e^{2} sin (2) i

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[x^{2}]

Frequently Asked Questions (FAQ)

What is e^{2+2i} ?
The solution to e^{2+2i} is e^2cos(2)+e^2isin(2)