问题描述: 二倍角的.cosπ/5乘cos2π/5的值?y=cosx/(1-sinx)的单调递增区间? 1个回答 分类:数学 2014-11-20 问题解答: 我来补答 cosπ/5*cos2π/5=(4sinπ/5*cosπ/5*cos2π/5)/(4sinπ/5) (用二倍角公式)=(2sin2π/5*cos2π/5)/(4sinπ/5)= (sin4π/5)/(4sinπ/5)=1/4y=cosx/(1-sinx)=[(cosx/2)^2-(sinx/2)^2]/(sinx/2-cosx/2)^2 (二倍角)=-(sinx/2+cosx/2)/(sinx/2-cosx/2) (分子分母同除以cosx/2)=(tanx/2+1)/(1-tanx/2) (用1=tanπ/4配正切两角和)=tan(x/2+π/4)-π/2+kπ 展开全文阅读