The question of mean inequality X + y + Z = Pi, find the maximum value of SiNx + siny + Sinz The sum difference product is (3 / 2) * radical 2, but if we use the mean inequality, SiNx + siny + Sinz > = 3 (sinxsinysinz) ^ (1 / 3). When x = y = z = pi / 3, we take equality, and the minimum value is (3 / 2) * radical 2. What's the matter? 0

Your main problem is not clear, the right should be fixed value
>=(sinxsinysinz) ^ (1 / 3). When x = y = z = pi / 3, take the equality
On the surface, the fixed value is taken, but this is not allowed
For example, given that X and y are positive numbers, x ^ 2 + y ^ 2 = 4, find the maximum value of X + y
(x + y) ^ 2 = x ^ 2 + y ^ 2 + 2XY = 4 + 2XY = 2 radical XY
2XY = 4 (when x = y)
In this case, XY is also a fixed value

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