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Автор - danilovadanmar

Тригонометрические уравнения

2cosx-3
_________=4
4cosx+2

Неравенство
3cosx-2<=4cosx+3/2

Ответ

Автор - hlopushinairina
(2cosx-3)/(4cosx+2)=4;⇒(4cosx+2)≠0;⇒
2cosx-3=16cosx+8;⇒
14cosx=-11; cosx=-11/14;
x=arccos(-11/14)+2kπ;k∈Z;
3cosx-2<4cosx+3/2;⇒3cosx-4cosx<2+3/2;⇒-cosx<7/2;⇒
cosx>-7/2⇒cosx>-1

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