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　次の問いに答えよ．
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\item[(1)]$\sin^3x+\cos^3x\leqq1$を示せ．
\item[(2)]$0 \leqq x<2\pi$の範囲で$\sin^3x+\cos^3x+\sin x=2$を満たす$x$を求めよ．
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