(2cos10°-sin20°)/cos20°化简求值

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/30 11:22:12
(2cos10°-sin20°)/cos20°化简求值
x)0J/648A83Hө1L{Ʀ {lW_`gCٶ F ia`m#XVZ|ڿXH API&zjR\a/.H̳ẕi Pe5 f,6 gh}]oZ`UX偤) $,"(`z ;V

(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