f(t)=梗号(1-t)/(1+t),g(x)=cosx*f(sinx)+sinx*f(cosx),化简到Asin(wx+¤)+b的形式
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![f(t)=梗号(1-t)/(1+t),g(x)=cosx*f(sinx)+sinx*f(cosx),化简到Asin(wx+¤)+b的形式](/uploads/image/z/2623429-37-9.jpg?t=f%28t%29%3D%E6%A2%97%E5%8F%B7%EF%BC%881-t%EF%BC%89%2F%EF%BC%881%2Bt%EF%BC%89%2Cg%28x%29%3Dcosx%2Af%28sinx%29%2Bsinx%2Af%28cosx%29%2C%E5%8C%96%E7%AE%80%E5%88%B0Asin%28wx%2B%C2%A4%29%2Bb%E7%9A%84%E5%BD%A2%E5%BC%8F)
f(t)=梗号(1-t)/(1+t),g(x)=cosx*f(sinx)+sinx*f(cosx),化简到Asin(wx+¤)+b的形式
f(t)=梗号(1-t)/(1+t),g(x)=cosx*f(sinx)+sinx*f(cosx),化简到Asin(wx+¤)+b的形式
f(t)=梗号(1-t)/(1+t),g(x)=cosx*f(sinx)+sinx*f(cosx),化简到Asin(wx+¤)+b的形式
g(x)=cosx*f(sinx)+sinx*f(cosx),
=cosx*√[(1-sinx)/(1+sinx)]+sinx*√[(1-cosx)/(1+cosx)]
=cosx*√[(1-sinx)^2/(1+sinx)(1-sinx)]+sinx*√[(1-cosx)^2/(1+cosx)(1-cosx)]
=cosx*√[(1-sinx)^2/(cosx)^2]+sinx*√[(1-cosx)^2/(sinx)^2]
=1-sinx+1-cosx
=2-(sinx+cosx)
=-(sinx+cosx)+2
=-√2(√2/2sinx+√2/2cosx)+2
=-√2(sinxcosπ/4+cosxsinxπ/4)+2
=-√2sin(x+π/4)+2