已知cos(a+π/4)=3/5,π/2

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已知cos(a+π/4)=3/5,π/2

已知cos(a+π/4)=3/5,π/2
已知cos(a+π/4)=3/5,π/2<=a<3π/2,求cos(2a+π/4)的值

已知cos(a+π/4)=3/5,π/2
因为π/2<=a<3π/2 所以3π/4<=a+π/4<7π/4 且
cos(a+π/4)>0 所以3π/2因为π/2<=a<3π/2所以π<2a<3π即-π<2a<π cos2a=-24/25或24/25 代入cos(2a+π/4)得原式=(17根号2)/50 或 (-31根号2)/50