Решите уравнения: 6sin x+3sin 2x=0 (sinx-3)(sinx-1)=0. Created by adrenaline6891. matematika-ru

Решите уравнения: 6sin x+3sin 2x=0 (sinx-3)(sinx-1)=0...

August 2022 1 5 Report

Решите уравнения:
6sin x+3sin 2x=0
(sinx-3)(sinx-1)=0

Answers & Comments

555Ghost555 1)
6sin(x) + 3sin(2x) = 0
6sin(x) + 6sin(x)cos(x) = 0
6sin(x) * (1 + cos(x)) = 0
6sin(x) = 0 или 1 + cos(x) = 0
x = πn cos(x) = -1
x = π + 2πn
Ответ: x = πn; π + 2πn (n ⊆ Z)

0 votes Thanks 1

555Ghost555 Про второе забыл)

555Ghost555 (sin(x) - 3) * (sin(x) - 1) = 0

555Ghost555 sin(x) - 3 = 0 или sin(x) - 1 = 0

555Ghost555 sin(x) не может быть равен 1, т.к. он принадлежит лишь [-1; 1]

555Ghost555 sin(x) = 1, следовательно x = pi + 2pi * n

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