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If sin^(-1)xi in [0,1]AAi=1,2,3, .28 th...

If `sin^(-1)x_i in [0,1]AAi=1,2,3, .28` then find the maximum value of
`sqrt(sin^(-1)x_1)sqrt(cos^(-1)x_2)+sqrt(sin^(-1)x_2)sqrt(cos^(-1)x_3)+` `sqrt(sin^(-1)x_3)sqrt(cos^(-1)x_4)+....+sqrt(sin^(-1)x_(28))sqrt(cos^(-1)x_1)`

Text Solution

Verified by Experts

The correct Answer is:
`7 pi`
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