All the permissible value of b ,a=sin(2x-b)if `a=0` and `x=S_(2)` is a – InterviewSolution

InterviewSolution

1.	All the permissible value of b ,a=sin(2x-b)if `a=0` and `x=S_(2)` is a subset of `(0, pi)` are given byA. `b in (-n pi, 2npi), n in Z`B. `b in (-n pi, 2pi - npi), n in Z`C. `b in (-n pi, npi), n in Z`D. none of these
Answer» Correct Answer - B `a=0 rArr sin (2 theta-b)=0` `rArr 2 theta-b=n pi, n in Z` `rArr theta=(n pi+b)/2, n in Z, S_(2)=(n pi +b)/2, n in Z` `S_(2)` is subset of `(0, pi)` `:. 0 lt (n pi +b)/2 lt pi, n in Z` `:. 0 lt n pi +b lt 2pi rArr -n pi lt b lt -n pi +2pi` `rArr b in (-n pi, 2pi-npi), n in Z`

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