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Popular >

simplify e^{-2i}

Solution

simplify

e^{- 2 i}

Solution

cos (2) - i sin (2)

Solution steps

e^{- 2 i}

Apply imaginary number rule:

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

= cos (- 2) + i sin (- 2)

Use the following property:

cos (- x) = cos (x)

cos (- 2) = cos (2)

= cos (2) + i sin (- 2)

Use the following property:

sin (- x) = - sin (x)

sin (- 2) = - sin (2)

= cos (2) - i sin (2)

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Frequently Asked Questions (FAQ)

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