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　$\displaystyle f(t)=\int_0^\frac{\pi}{2}|\cos x-t\sin x|dx$とおく．
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\item[(1)]$\cos\theta=t\sin\theta$ $\displaystyle\left(0<\theta<\frac{\pi}{2}, \, t>0\right)$のとき，
$\sin\theta$，$\cos\theta$を$t$で表せ．
\item[(2)]関数$f(t)$の$t>0$における最小値を求めよ．
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