The function `f(x)=cos^(-1)((2[|sinx|+|cosx|])/(sin^2x+2sinx+11/4))` i – InterviewSolution

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1.	The function `f(x)=cos^(-1)((2[\|sinx\|+\|cosx\|])/(sin^2x+2sinx+11/4))` is defined if x belongs to (where [.] represents the greatest integer function)A. `[0,(7pi)/(6)]`B. `[0,(pi)/(6)]`C. `[(11pi)/(6)]`D. `[pi,2pi]`
Answer» Correct Answer - A::B::C `1le\|sinx\|+\|cosx\|lesqrt2` `therefore" "2[\|sinx\|+\|cosx\|]=2` `thereforef(x)` is defined if `sin^(2)x+2 sin x+(11)/(4)ge2` `"or "(sinx+1)^(2)ge(1)/(4)` `"or "sinx+1ge(1)/(2) or sin x+1le-(1)/(2)` `"or "sinx ge-(1)/(2) or sin le-(3)/(2)` (which is not true)

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