化简求值:cos10°*cos20°*cos40°*cos80°*cos160°

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 11:51:19
化简求值:cos10°*cos20°*cos40°*cos80°*cos160°

化简求值:cos10°*cos20°*cos40°*cos80°*cos160°
化简求值:cos10°*cos20°*cos40°*cos80°*cos160°

化简求值:cos10°*cos20°*cos40°*cos80°*cos160°
cos10°*cos20°*cos40°*cos80°*cos160°
=32sin10°*cos10°*cos20°*cos40°*cos80°*cos160°/32sin10°
=16sin20°*cos20°*cos40°*cos80°*cos160°/32sin10°
=8sin40°*cos40°*cos80°*cos160°/32sin10°
=4sin80°*cos80°*cos160°/32sin10°
=2sin160°*cos160°/32sin10°
=sin320°/32sin10°
=-sin40°/32sin10°