Answer:
x = 28.1550° + k·90°
Step-by-step explanation:
We can find the solution 2sin2x = 3cos2x by this way:
[tex]2sin(2x) = 3cos(2x)[/tex]
[tex]\displaystyle \frac{sin(2x)}{cos(2x)} =\frac{3}{2}[/tex]
[tex]\displaystyle tan(2x)=\frac{3}{2}[/tex]
[tex]2x=56.3099^o+k\cdot180^o[/tex]
[tex]x=28.1550^o+k.90^o[/tex]
