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find the value of theA. `pm sqrt(n pi), n in {0, 1, 2, ...}`B. `pm sqrt(n pi), n in {1, 2, ...}`C. `pi/2+2npi, n in {..., -2, -1, 0, 1, 2 ...}`D. `2npi, n in {..., -2, -1, 0, 1, 2, ...}` |
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Answer» Correct Answer - A `(fogogof) (x)= sin^(2) (sin x^(2))` `(gogof) (x) = sin (sin x^(2))` `:. Sin^(2) (sin x^(2))= sin (sin x^(2))` `rArr sin (sin x^(2)) [sin (sin x^(2))-1]=0` `rArr sin (sin x^(2))=0` or `1` `rArr sin x^(2) = npi` or `2 mpi+pi//2`, where `m, n in I` `rArr sin x^(2)=0` `rArr x^(2) =n pi rArr x= pm sqrt(npi), n in {0, 1, 2, ...}`. |
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