考研申请信英语题目:求值:2sin20+(2cos5的平方)+(cos70sin10)/sin70

来源:百度文库 编辑:杭州交通信息网 时间:2024/05/10 19:52:31

2sin20+(2cos5的平方)+(cos70sin10)/sin70
=2sin20+(1+cos10)+(cos70sin10)/sin70
=2sin20+1+(sin70cos10+cos70sin10)/sin70
=2sin20+1+sin80/sin70
=1+2sin20+sin80/cos20
=1+(2sin20cos20+sin80)/cos20
=1+(sin40+sin80)/cos20
=1+2sin60cos20/cos20
=1+2sin60
=1+√3

4。716858561

2sin20+(2cos5的平方)+(cos70sin10)/sin70
=2sin20+(1+cos10)+(cos70sin10)/sin70
=2sin20+1+(sin70cos10+cos70sin10)/sin70
=2sin20+1+sin80/sin70
=1+2sin20+sin80/cos20
=1+(2sin20cos20+sin80)/cos20
=1+(sin40+sin80)/cos20
=1+2sin60cos20/cos20
=1+2sin60
=1+√3