решить уравнение sin(4x)+cos(4x)=0 - вопрос №14937485440 от primarina2000p09pnc 20.01.2021 23:04

Question

Математика: решить уравнение sin(4x)+cos(4x)=0

primarina2000p09pnc · Answer

ответ:sin4x+sin(π/2-4x)=0sin4x+sin(π/2-4x)=02sinπ/4cos(4x-π/4)=0sin4x+sin(π/2-4x)=02sinπ/4cos(4x-π/4)=0cos(4x-π/4)=0sin4x+sin(π/2-4x)=02sinπ/4cos(4x-π/4)=0cos(4x-π/4)=04x-π/4=π/2+πnsin4x+sin(π/2-4x)=02sinπ/4cos(4x-π/4)=0cos(4x-π/4)=04x-π/4=π/2+πn4x=π/4+π/2+πn=3π/4+πnsin4x+sin(π/2-4x)=02sinπ/4cos(4x-π/4)=0cos(4x-π/4)=04x-π/4=π/2+πn4x=π/4+π/2+πn=3π/4+πnx=3π/16+πn/4...