作业帮 > 数学 > 作业

(sin20°×cos20°×cos40°×cos60°×cos80°)÷sin20°

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/06 22:55:57
(sin20°×cos20°×cos40°×cos60°×cos80°)÷sin20°
:(sin20°×cos20°×cos40°×cos60°×cos80°)÷sin20°
=1/2(2sin20°×cos20°×cos40°×cos60°×cos80°)÷sin20°
=1/2(sin40°×cos40°×cos60°×cos80°)÷sin20°
=1/4(2sin40°×cos40°×cos60°×cos80°)÷sin20°
=1/4(sin80°×cos60°×cos80°)÷sin20°
=1/8(2sin80°×cos80°×cos60°)÷sin20°
=1/8(sin160°×cos60°)÷sin20°
=1/8(sin20°×cos60°)÷sin20°
=1/8×cos60°
=1/8×1/2
=1/16