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07-08-2017
Mathematics

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Find all real numbers that satisfy the equation tan(5x)=sqrt(3)

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07-08-2017

5x = tan⁻¹(√3)
5x₁ = 60 ⇒ x₁ = 12
5x₂ = 240 ⇒ x₂ = 48
5x₃ = -120 ⇒ x₃ = -24
5x₄ = 420 ⇒ x₄ = 84
x = 12 ± 36n

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