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Popular >

simplify e^{ikx}-e^{-ikx}

Solution

simplify

e^{ik x} - e^{- ik x}

Solution

2 i sin (k x)

Solution steps

e^{ik x} - e^{- ik x}

e^{ik x} = cos (k x) + i sin (k x)

e^{- ik x} = cos (k x) - i sin (k x)

= cos (k x) + i sin (k x) - (cos (k x) - i sin (k x))

= cos (k x) + i sin (k x) - (cos (k x) - i sin (k x))

- (cos (x k) - i sin (x k)) : - cos (x k) + i sin (x k)

= cos (k x) + sin (k x) i - cos (x k) + i sin (x k)

Simplify

cos (k x) + sin (k x) i - cos (x k) + i sin (x k) : 2 i sin (k x)

= 2 i sin (k x)

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14 x y - 21 x z + 10 y - 15 z

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Frequently Asked Questions (FAQ)

What is e^{ikx}-e^{-ikx} ?
The solution to e^{ikx}-e^{-ikx} is 2isin(kx)