已知函数f(x)=2cos(2x+π/4)解方程:2cos(2x+π/4)=180

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收藏|2021/12/19 19:16

满意回答

2021/12/19 19:35

f(x) 周期为 2π/2 = π;2cos(2x+π/4) = 1cos(2x+π/4) = 1/22x + π/4 = ±π/3x1 = π/24,x2 = -7π/24解集为 ( kπ + π/24 )∪( kπ - 7π/24 ), k∈Z 。

寂园晓月

其他回答(1)
  • 2cos(2x+π/4)=1cos(2x+π/4)=0.52x+π/4=±π/3+2πk其中k∈Z2x=-π/4±π/3+2πkx=-π/8±π/6+πk方程解集x₁=π/24+πkx₂=-7π/24+πk
    回答于 2021/12/19 19:55
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