Consider the two curves $C_{1} : y = 1 + cos x and C_{2} : y = 1 + cos (x - α) for α \in (0, \frac{π}{2}), where x \in [0, π] .$ 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 $C_{2}, y = 1, and x = π$ .
The value of $α$ is

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Consider the two curves

C_{1} : y = 1 + cos x and C_{2} : y = 1 + cos (x - α) for α \in (0, \frac{π}{2}), where x \in [0, π] .

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 = π

.
The value of

α

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Question Text

Consider the two curves

C_{1} : y = 1 + cos x and C_{2} : y = 1 + cos (x - α) for α \in (0, \frac{π}{2}), where x \in [0, π] .

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 = π

.
The value of

α

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