Решите уравнение cos3x+cosx=-корень из 3 cos2x. Created by 07avagat. algebra-ru

Решите уравнение cos3x+cosx=-корень из 3 cos2x...

07avagat @07avagat

August 2022 1 13 Report

Решите уравнение cos3x+cosx=-корень из 3 cos2x

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Санечка69

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cos3x + cosx =-√3cos2x,
2cos2x · cos(-x) + √3cos2x = 0,
cos2x(2cosx+√3) = 0,
cos2x = 0 или 2cosx + √3 = 0
2x = π/2 + πn, n∈ Z cosx = -√3/2
x = π/4 +πn/2, n ∈ Z x = +-5π/6 + 2πk, k ∈ Z

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07avagat Спасибо большое

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