Sin²π/x + 3Cosπ/x Sinπ/x - 2*1 = 0
Sin²π/x + 3Cosπ/x Sinπ/x - 2*(Sin²π/x + Cos²π/x) = 0
Sin²π/x + 3Cosπ/x Sinπ/x - 2Sin²π/x - 2Cos²π/x = 0
-Sin²π/x + 3Cosπ/x Sinπ/x -2 Cos²π/x = 0 | : Сos²π/x≠ 0
-tg²π/x + 3tgπ/x -2 = 0
tgπ/x = t
-t² + 3t -2 = 0
D = 1
t₁ = 1 t₂=2
tgπ/x = 1 tgπ/x = 2
π/x = π/4 +πk , k ∈Z π/x = arctg2 + πn , n ∈Z
x = 1/(1/4 +k)= (1 + 4k)/ 4, k ∈Z x = π/(arctg2 + πn) , n ∈Z