数学老师帮我,cos2a/sin(a+π/4)=﹣根号2/2,则cos a-sina的值是多少

孙五空 1年前 已收到1个回答 举报

chendali 幼苗

共回答了16个问题采纳率:81.3% 举报

cos2a/sin(a-π/4)=(2cos2a*cos(a-π/4)) /(2sin(a-π/4) cos(a-π/4))
cos2a/sin(a-π/4)=(2cos2a*cos(a-π/4)) /sin(2a-π/2)
cos2a/sin(a-π/4)=-(2cos2a*cos(a-π/4)) /cos2a
cos2a/sin(a-π/4)=-2*cos(a-π/4)
-2*cos(a-π/4) =-√2/2
cos(a-π/4) =√2/4
cosa*cos(π/4)+sina*sin(π/4)=√2/4
cosa+cosb=1/2

1年前

3
可能相似的问题
Copyright © 2024 YULUCN.COM - 雨露学习互助 - 17 q. 0.806 s. - webmaster@yulucn.com