Question

Решите уравнение 3sin^2x + sinxcosx =2

Answer 1

3sin^2x + sinxcosx =2

3sin^2(x)/2-3/2cos^2(x)+sin(x)cos(x)+3/2=2

1/2(sin(2x)-3cos(2x)+3)=2

sin(x)*(3sin(x)+cos(x))=2