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∣sinx∣≤1∣cosx∣≤1 | \sin x | \leq 1 \qquad \qquad | \cos x | \leq 1 ∣sinx∣≤1∣cosx∣≤1
We know that for all real numbers xxx, the inequalities above are true. What is the smallest possible value of RRR satisfying
∣sinx+cosx∣≤R? | \sin x + \cos x | \leq R ? ∣sinx+cosx∣≤R?
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