If `A={x|cosxgt-(1)/(2)and0lexlepi}andB={x|sinxgt(1)/(2)and(pi)/(3)lex – InterviewSolution

InterviewSolution

1.	If `A={x\|cosxgt-(1)/(2)and0lexlepi}andB={x\|sinxgt(1)/(2)and(pi)/(3)lexlepi}and" if "pilambdaleAnnBltpimu`, the value of `(lambda + mu)` is
Answer» Correct Answer - 1 `therefore cosxgt-(1)/(2) and 0lexlepi` `implies-(2pi)/(3)ltxlt(2pi)/(3)and0lexlepi` `implies0lexlt(2pi)/(3)` `therefore A = [0, (2pi)/(3)]` Again, `sinxgt(1)/(2)and(pi)/(3)lexlepi` `implies (pi)/(3)lexlt(5pi)/(6)` `B=[(pi)/(3),(5pi)/(6))` Now, `AnnB=[(pi)/(3),(2pi)/(3))` `(pi)/(3)leAnnBlt(2pi)/(3)` Here `lambda=(1)/(3)andmu=(2)/(3)` `lambda+mu=1`

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