Предмет: Алгебра, автор: Disaydi55

2sin2x=3/tg x

помогите решить уравнение

Ответы

Автор ответа: nik12101
0
2sin2x=3/tgx
4sinxcosx=3cosx/sinx       умножим все на sinx
4cosx=3cosx/sin²x
4cosx=3cosx/1-cos²x
4cosx-4cos³x=3cosx
-4cos³x+cosx=0
4cos³x-cosx=0
cosx(4cos²x-1)=0
cosx=0
x=π/2+πn
4cos²x-1=0
cos²x=1/4
cosx=1/2
x=+-π/6+2πn
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