(2cos80°+cos160°)/cos70°

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(2cos80°+cos160°)/cos70°(2cos80°+cos160°)/cos70°(2cos80°+cos160°)/cos70°(2cos80°+cos160°)/cos70°=[2c

(2cos80°+cos160°)/cos70°
(2cos80°+cos160°)/cos70°

(2cos80°+cos160°)/cos70°
(2cos80°+cos160°)/cos70°
=[2cos(60°+20°)-cos20°]/cos70°
=[2cos60°cos20°-2sin60°sin20°-cos20°]/cos70°
=(-2sin60°sin20°)/sin20°
=-根号3