已知cos(π/4-a)=3/5,-3π/2<a<-π/2,求cos(2a-π/4)的值?
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cos(π/4-a)=3/5>0,
-3π/2<a<-π/2,
π/4-a落在第四象限,-3π/2<a<-5π/4, ,-3π<2a<-5π/2, 即,π<2a<3π/2;
cos(2a-π/4) <0;
cos(π/4-a)=cosacosπ/4+sinasinπ/4=(sina+cosa)√2 /2
9/25=(sina+cosa)^2 / 2;
2sinacosa=sin2a=-7/25,
cos2a=-24/25;=
cos(2a-π/4)=(sin2a+cos2a)√2 /2=-31√2/50
-3π/2<a<-π/2,
π/4-a落在第四象限,-3π/2<a<-5π/4, ,-3π<2a<-5π/2, 即,π<2a<3π/2;
cos(2a-π/4) <0;
cos(π/4-a)=cosacosπ/4+sinasinπ/4=(sina+cosa)√2 /2
9/25=(sina+cosa)^2 / 2;
2sinacosa=sin2a=-7/25,
cos2a=-24/25;=
cos(2a-π/4)=(sin2a+cos2a)√2 /2=-31√2/50
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