Consider the two curves C(1):y=1+cos x a...

Consider the two curves `C_(1):y=1+cos x and C_(2): y=1 + cos (x-alpha)" for "alpha in (0,(pi)/(2))," where "x in [0,pi].` Also the area of the figure bounded by the curves `C_(1),C_(2), and x=0` is same as that of the figure bounded by `C_(2),y=1, and x=pi`.
The value of `alpha` is

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