sinx=根号5-1/2,求sin2(x-π/4)的值 sin2(x-π/4)=sin(2x-π/2)=-sin(π/2-2x)=-cos2x=-(1-2sin²x)=2sin²x-1=2[(√5-1)/2]²-1=2*(6-2√5)/4-1=2*2(3-√5)/4-1=3-√5-1=2-√5为什么不能=sin(2x-π/2)=cos(2x-π/2+π/2)=cos

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sinx=根号5-1/2,求sin2(x-π/4)的值 sin2(x-π/4)=sin(2x-π/2)=-sin(π/2-2x)=-cos2x=-(1-2sin²x)=2sin²x-1=2[(√5-1)/2]²-1=2*(6-2√5)/4-1=2*2(3-√5)/4-1=3-√5-1=2-√5为什么不能=sin(2x-π/2)=cos(2x-π/2+π/2)=cos

sinx=根号5-1/2,求sin2(x-π/4)的值 sin2(x-π/4)=sin(2x-π/2)=-sin(π/2-2x)=-cos2x=-(1-2sin²x)=2sin²x-1=2[(√5-1)/2]²-1=2*(6-2√5)/4-1=2*2(3-√5)/4-1=3-√5-1=2-√5为什么不能=sin(2x-π/2)=cos(2x-π/2+π/2)=cos
sinx=根号5-1/2,求sin2(x-π/4)的值
sin2(x-π/4)
=sin(2x-π/2)
=-sin(π/2-2x)
=-cos2x
=-(1-2sin²x)
=2sin²x-1
=2[(√5-1)/2]²-1
=2*(6-2√5)/4-1
=2*2(3-√5)/4-1
=3-√5-1
=2-√5
为什么不能
=sin(2x-π/2)
=cos(2x-π/2+π/2)
=cos2x

sinx=根号5-1/2,求sin2(x-π/4)的值 sin2(x-π/4)=sin(2x-π/2)=-sin(π/2-2x)=-cos2x=-(1-2sin²x)=2sin²x-1=2[(√5-1)/2]²-1=2*(6-2√5)/4-1=2*2(3-√5)/4-1=3-√5-1=2-√5为什么不能=sin(2x-π/2)=cos(2x-π/2+π/2)=cos
∵sina≠cos(a+π/2)
∴sin(2x-π/2)≠ cos(2x-π/2+π/2)
cos(a+π/2)= - sina