4sin(0,5П+x) + 3sin^2x - 3 = 0

Question

4sin(0,5П+x) + 3sin^2x - 3 = 0

Answer 1

4sin(o,5x+x)+3sin^2(x)-3=0

4cos(x)+3sin^2(x)-3=0

4cos(x)+3*(1-cos^2(x))-3=0

4cos(x)-3cos^2(x)=0

3cos^2(x)-4cos(x)=0

cos(x)*(3cos(x)-4)=0

1) cos(x)=0 => x=(pi/2)+pi*n

2) 3cos(x)-4=0 => cos(x)=4/3>1- побочный корень