上海飞机场到迪士尼:cos40+cos60+cos80+cos160怎么做?

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cos40+cos60+cos80+cos160
要详细的解题步骤!!!!!

=2cos100cos60+2cos70cos10
=2(sin20cos10-sin10cos60)
=2sin10[2(cos10)^2-1/2]
=2sin10(cos20+cos60)
=4sin10cos20cos40
=2sin20cos20cos40/cos10
=sin40cos40/cos10
=(1/2*sin80)/cos10
=1/2