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已知:0< a <派/2< β<派,cos ( β+派/4)=1/3,sin (a+ β)=4/5
1.求sin2 β的值
2.求cos (a +派/4)的值
人气:475 ℃ 时间:2020-05-28 00:08:17
解答
cos(π/2+α)= -sinαcos ( β+π/4)=1/3,sin (a+ β)=4/5cos ( β+π/4)=1/3cos (2β+π/2)=2cos²(β+π/4)-1cos (2β+π/2)=2*(1/3)²-1cos (2β+π/2)=2/9-1cos (2β+π/2)=-7/9-sinα2β=-7/9sinα...
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