\mathrm{a}_{\mathrm{n}}=\int_{0}^{\frac{\pi}{2}} \frac{1-\cos 2 \mathrm{nx}}{1-\cos \mathrm{x}} \mathrm{dx},a
n
=∫
0
2
π
1−cosx
1−cos2nx
dx, then \mathrm{f}(\mathrm{x})=\left|\begin{array}{lll}\mathrm{a}_{1} & \mathrm{a}_{2} & \mathrm{a}_{3} \\ \mathrm{a}_{4} & \mathrm{a}_{5} & \mathrm{a}_{6} \\ \mathrm{a}_{7} & \mathrm{a}_{8} & \mathrm{a}_{9}\end{array}\right| \forall \mathrm{x} \in \mathrm{R} ;f(x)=
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a
1
a
4
a
7
a
2
a
5
a
8
a
3
a
6
a
9
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∀x∈R; then \mathrm{f}(1)=f(1)=
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