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Find the values of a and b such that the...

Find the values of a and b such that the function f (x) defined by
`f(x)={{:(x+asqrt(2)sinx,0lexlt(pi)/(4)),(2xcotx+b,(pi)/(4)lexle(pi)/(2)),(acos2x-bsinx,(pi)/(2)ltxlepi):}`
is continuous for all values of x in `0lexlepi`.

Text Solution

Verified by Experts

The correct Answer is:
`a=(pi)/(6)andb=-(pi)/(12)`
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