(2cos40°+cos80°(1+根号3tan10°))根号(1+sin70°)的结果
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=〔2cos40°+ cos80°+√3sin210°/cos10°〕(sin35°+cos35°)
=〔cos40°+2cos60°cos20°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=〔cos40°+cos20°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=〔2cos30°cos10°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=〔√3cos10°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=√3/cos10°(sin35°+sin55°)
=√3/cos10°*2sin45°cos10°
=√6
=〔cos40°+2cos60°cos20°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=〔cos40°+cos20°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=〔2cos30°cos10°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=〔√3cos10°+√3(sin10°)^2/cos10°〕(sin35°+cos35°)
=√3/cos10°(sin35°+sin55°)
=√3/cos10°*2sin45°cos10°
=√6
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