cos2α-sin2α=根号Xsin(2α±π/4)

发布时间:2019-07-29 18:47:20

求x,以及正负号

推荐回答

cos(2α)-sin(2α)=√x*sin(2α±π/4)

当sin(2α±π/4)≠0时

√x=√2*cos(2α+π/4)/sin(2α±π/4)

x=2cos²(2α+π/4)/sin²(2α±π/4)

=2[1+cos(4α+π/2)]/[1-cos(4α±π/2)]

=2[1-sin(4α)]/[1±sin(4α)]

x₁=2[1-sin(4α)]/[1+sin(4α)]

x₂=2

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