Respuesta :

Solution

For this case we have the following expression:

[tex]\sin x\cos x-3\cos x=0[/tex]

We can take common factor and we got:

[tex]\cos x(\sin x-3)=0[/tex]

Then we have two possibilities:

cos x = 0

that happens for:

[tex]x=\frac{\pi}{2}+2\pi\cdot n,\frac{3\pi}{2}+2\pi\cdot n[/tex]

and the other possibility is:

sin x= 3 (No solution)

then the final answer is:

x= pi/2, 3pi/2