If \[\int_{{}}^{{}}{\frac{dx}{1+\sin x}=\tan \left( \frac{x}{2}+a \right)+b}\], then [Roorkee 1979]

\[a=\frac{\pi }{4},\ b=\]arbitrary constant

\[a=-\frac{\pi }{4},\ b=\]arbitrary constant

If \[\int_{{}}^{{}}{\frac{dx}{1+\sin x}=\tan \left( \frac{x}{2}+a \rig

1.	If \[\int_{{}}^{{}}{\frac{dx}{1+\sin x}=\tan \left( \frac{x}{2}+a \right)+b}\], then [Roorkee 1979]
A.	\[a=\frac{\pi }{4},\ b=3\]
B.	\[a=-\frac{\pi }{4},\ b=3\]
C.	\[a=\frac{\pi }{4},\ b=\]arbitrary constant
D.	\[a=-\frac{\pi }{4},\ b=\]arbitrary constant
Answer» E.

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If \[\int_{{}}^{{}}{\frac{dx}{1+\sin x}=\tan \left( \frac{x}{2}+a \right)+b}\], then [Roorkee 1979]

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