sin α+sin^2α=1,则cos^2 α+cos^6 α+cos^8α=多少?,

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 02:21:24
sinα+sin^2α=1,则cos^2α+cos^6α+cos^8α=多少?,sinα+sin^2α=1,则cos^2α+cos^6α+cos^8α=多少?,sinα+sin^2α=1,则cos^2

sin α+sin^2α=1,则cos^2 α+cos^6 α+cos^8α=多少?,
sin α+sin^2α=1,则cos^2 α+cos^6 α+cos^8α=多少?,

sin α+sin^2α=1,则cos^2 α+cos^6 α+cos^8α=多少?,
sin α+sin^2α=1,cos^2α+sin^2α=1,由此两式可知sin α=cos^2α,则所求式可化为sin α+sin^3α+sin^4α,提取公因式后该式=sin α+sin^2α(sin α+sin^2α)=sin α+sin^2α=1.纯手打,