已知sin(a+π/4)=4/5,且π/4

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已知sin(a+π/4)=4/5,且π/4已知sin(a+π/4)=4/5,且π/4已知sin(a+π/4)=4/5,且π/4π/4其实π/4因为如果a>π/2,sin(a+π/4)π/2cos(a+

已知sin(a+π/4)=4/5,且π/4
已知sin(a+π/4)=4/5,且π/4

已知sin(a+π/4)=4/5,且π/4
π/4其实
π/4因为如果
a>π/2,sin(a+π/4)<根号2
π/2cos(a+π/4)=-3/5
cos(2*a)=sin(2*a+π/2)=sin2*(a+π/4)=2*sin(a+π/4)*cos(a+π/4)=-24/25
cos(2*a)=2*(cosa)^2-1
cosa=根号0.02

π/4π/2cos(a+π/4)=-3/5.
cosa=cos[(a+π/4)-π/4]=cos(a+π/4)cosπ/4+sin(a+π/4)sinπ/4
=(-3/5)*(√2/2)+4/5*√2/2
=√2/10.