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Popular >

simplify e^i+e^{-i}

Solution

simplify

e^{i} + e^{- i}

Solution

2 cos (1)

+1

Solution steps

e^{i} + e^{- i}

e^{i} = cos (1) + i sin (1)

e^{- i} = cos (1) - i sin (1)

= cos (1) + i sin (1) + cos (1) - i sin (1)

Group like terms

= cos (1) + cos (1) + i sin (1) - i sin (1)

Add similar elements:

cos (1) + cos (1) = 2 cos (1)

= 2 cos (1) + i sin (1) - i sin (1)

Add similar elements:

i sin (1) - i sin (1) = 0

= 2 cos (1)

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Frequently Asked Questions (FAQ)

What is e^i+e^{-i} ?
The solution to e^i+e^{-i} is 2cos(1)