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sum of integral values of n such that sin x(2sinx+cosx)=n, has at least one real solution is (a)0 (b)1 (c)2 (d)3 sum of integral values of n such that sin x(2sinx+cosx)=n, has at least one real solution is(a)0 (b)1 (c)2 (d)3
2 sin^2x + 2sinx cosx/2 = nsin2x+ 2(1-cos2x) = 2nSin2x - 2 cos2x = 2(n-1)-5 51 -5/2 5/2Hence integral values of n = 0, 1, 2total number of integral value = 3 (option D)
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