$$A = 9\sin^2x -6\sin x + 25\cos^2y - 20\cos y$$ For the minimum value of the $A$, What is the result of multiplying $\sin x . \cos y$?
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2026-03-25 13:13:33.1774444413
What is the result of multiplying $\sin x . \cos y$?
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$$ A=(3\sin x-1)^2+(5\cos y-2)^2-5. $$ Hence the minimum of $A$ is obtained for $\sin x=1/3$ and $\cos y=2/5$.