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Question Number 212834 by efronzo1 last updated on 25/Oct/24

$$\underbrace{}$$

Answered by golsendro last updated on 25/Oct/24

$$\mathrm{let}\{\begin{array}{l}\mathrm{a}=\sin \mathrm{x},\mathrm{b}=\cos \mathrm{x}\\ \mathrm{c}=\sin \mathrm{y},\mathrm{d}=\cos \mathrm{y}\end{array}$$$$\mathrm{ac}+\mathrm{bd}=\cos (\mathrm{x}-\mathrm{y})$$$$\mid \mathrm{ac}+\mathrm{bd}\mid ⩽1$$$$\min \mathrm{ac}+\mathrm{bd}-2=-3$$

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