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Let f(theta)=(sin^(2)theta cos theta)/((sin theta+cos theta))-(1)/(4)tan(pi/4-theta), forall theta in R-{npi-pi/4}, n in I. bb"Statement I" The largest and smallest value of f(theta) differ by 1/sqrt(2) bb"Statement II "asinx+bcosx+c in [c-sqrt(a^(2)+b^(2)),c+sqrt(a^(2)+b^(2))], forall x in R, " where " a,b,c in R. |
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