化简:(cos(π/4+a)-sin(π/4+a))/(cos(π/4-a)+sin(π/4-a))
问题描述:
化简:(cos(π/4+a)-sin(π/4+a))/(cos(π/4-a)+sin(π/4-a))
答
(cos(π/4+a)-sin(π/4+a))/(cos(π/4-a)+sin(π/4-a)) 分子分母同乘以根号2/2:(sinπ/4 cos(π/4+a)-cosπ/4 sin(π/4+a))/(cosπ/4 cos(π/4-a)+sinπ/4 sin(π/4-a))= sin(π/4 - π/4 - a) / cos(π/4-π/4...