(2cos10°-sin20°)/cos20°化简求值

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(2cos10°-sin20°)/cos20°化简求值

(2cos10°-sin20°)/cos20°化简求值
(2cos10°-sin20°)/cos20°化简求值

(2cos10°-sin20°)/cos20°化简求值
=[2cos(30-20)-sin20]/cos20
=(2cos30cos20+2sin30sin20-sin20]/cos20
=(2*根号3/2*cos20+2*1/2sin20-sin20)/cos20
=(根号3cos20+sin20-sin20)/cos20
=根号3cos20/cos20
=根号3

=(2cos10-sin20)/cos20
=[cos10+(cos10-cos70)]/cos20
=[cos10+2sin40*sin30]/cos20
=[cos10+2*1/2*sin40]/cos20
=[cos10+cos50]/cos20
=2cos30*cos20/cos20
=2cos30
= 根号3