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If E1 :sin x+sin 2x + sin 3x = 3; E2 : s...

If `E_1 :sin x+sin 2x + sin 3x = 3; E_2 : sin 2x + cos 4x = 2; E_3 : cos x + cos2x+cos3x = 3; E_4 : tan x + 2 = |tanx|.` Be four equations and let `N(E_i)` denote the number of solution(s) of `E_i` in `[0,2pi],` then the matrix `[(N(E_1), N(E_2)), (N(E_3), N(E_4))]` is

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