What is (xe^x)/(xsin(x)) ?

The solution to (xe^x)/(xsin(x)) is e^xcsc(x)

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simplify (xe^x)/(xsin(x))

simplify

\frac{x e ^{x}}{x sin ( x )}

e^{x} csc (x)

Solution steps

\frac{x e ^{x}}{x sin ( x )}

Cancel the common factor:

x

= \frac{e ^{x}}{sin ( x )}

Use the basic trigonometric identity:

\frac{1}{sin ( x )} = csc (x)

= e^{x} csc (x)

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