已知0<β<π/4<α<3π/4,cos(π/4+α)=3/5,sina(3π/4+β)=5/13,求sina(2α+2β)的值已知0<β<π/4<α<3π/4,cos(π/4-α)=3/5,sina(3π/4+β)=5/13,求sina(α+β)的值
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![已知0<β<π/4<α<3π/4,cos(π/4+α)=3/5,sina(3π/4+β)=5/13,求sina(2α+2β)的值已知0<β<π/4<α<3π/4,cos(π/4-α)=3/5,sina(3π/4+β)=5/13,求sina(α+β)的值](/uploads/image/z/5500528-16-8.jpg?t=%E5%B7%B2%E7%9F%A50%EF%BC%9C%CE%B2%EF%BC%9C%CF%80%2F4%EF%BC%9C%CE%B1%EF%BC%9C3%CF%80%2F4%2Ccos%28%CF%80%2F4%2B%CE%B1%29%3D3%2F5%2Csina%283%CF%80%2F4%2B%CE%B2%29%3D5%2F13%2C%E6%B1%82sina%282%CE%B1%2B2%CE%B2%29%E7%9A%84%E5%80%BC%E5%B7%B2%E7%9F%A50%EF%BC%9C%CE%B2%EF%BC%9C%CF%80%2F4%EF%BC%9C%CE%B1%EF%BC%9C3%CF%80%2F4%2Ccos%28%CF%80%2F4-%CE%B1%29%3D3%2F5%2Csina%283%CF%80%2F4%2B%CE%B2%29%3D5%2F13%2C%E6%B1%82sina%28%CE%B1%2B%CE%B2%29%E7%9A%84%E5%80%BC)
已知0<β<π/4<α<3π/4,cos(π/4+α)=3/5,sina(3π/4+β)=5/13,求sina(2α+2β)的值已知0<β<π/4<α<3π/4,cos(π/4-α)=3/5,sina(3π/4+β)=5/13,求sina(α+β)的值
已知0<β<π/4<α<3π/4,cos(π/4+α)=3/5,sina(3π/4+β)=5/13,求sina(2α+2β)的值
已知0<β<π/4<α<3π/4,cos(π/4-α)=3/5,sina(3π/4+β)=5/13,求sina(α+β)的值
已知0<β<π/4<α<3π/4,cos(π/4+α)=3/5,sina(3π/4+β)=5/13,求sina(2α+2β)的值已知0<β<π/4<α<3π/4,cos(π/4-α)=3/5,sina(3π/4+β)=5/13,求sina(α+β)的值
cos(π/4-α)=3/5
π/4
-π/2<π/4-α<0 -π<π/2-2α<0
3π/4<3π/4+β<π 3π/2<3π/2+2β<2π
cos(π/4+α)=3/5 sin(π/4+α)=-4/5 sin(π/2+2α)=-24/25
cos(π/2+2α)=1/25
sin(3π/4+β)=5/13 cos(3π/4+β)=-12/13 sin(3π/2+2β)=-120/...
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-π/2<π/4-α<0 -π<π/2-2α<0
3π/4<3π/4+β<π 3π/2<3π/2+2β<2π
cos(π/4+α)=3/5 sin(π/4+α)=-4/5 sin(π/2+2α)=-24/25
cos(π/2+2α)=1/25
sin(3π/4+β)=5/13 cos(3π/4+β)=-12/13 sin(3π/2+2β)=-120/169
cos(3π/2+2β)=49/169
sin(2α+2β)= sin(π/2+2α)cos(3π/2+2β)+sin(3π/2+2β)cos(π/2+2α)
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