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If \(\int \frac{{e}^{x}\left(1+\text{sin}x\right)dx}{1+\text{cos}x}={e}^{x}f\left(x\right)+C,\) then \(f\left(x\right)\)…

Q1

If \(\int \frac{{e}^{x}\left(1+\text{sin}x\right)dx}{1+\text{cos}x}={e}^{x}f\left(x\right)+C,\) then \(f\left(x\right)\) is equal to

a

\(\text{sin}\frac{x}{2}\)

b

\(\text{cos}\frac{x}{2}\)

c

\(\text{tan}\frac{x}{2}\)

d

\(\text{log}\frac{x}{2}\)

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