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Popular >

simplify e^{i(x+ct)}

Solution

simplify

e^{i (x + c t)}

Solution

cos (x + c t) + i sin (x + c t)

Solution steps

e^{i (x + c t)}

Apply imaginary number rule:

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

= cos (c t + x) + i sin (c t + x)

Popular Examples

expand (3s)/(1-(3s)(s+1))expand

\frac{3 s}{1 - ( 3 s ) ( s + 1 )}

expand 1/(x(x+1)^2)expand

\frac{1}{x ( x + 1 ) ^{2}}

expand x(x^3+1)dx expand

x (x^{3} + 1) d x

expand-d/(ds)(A/(s(s^2-B)))expand

- \frac{d}{d s} (\frac{A}{s ( s ^{2} - B )})

expand (-2a+pi)/(2(-b+1))expand

\frac{- 2 a + π}{2 ( - b + 1 )}

Frequently Asked Questions (FAQ)

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