Question

Solve:Sin(x)cos(x)-3cos(x)=0 For x is the element of [0,2pi)

Answer 1

For this case we have the following expression:

`\sin x\cos x-3\cos x=0`

We can take common factor and we got:

`\cos x(\sin x-3)=0`

Then we have two possibilities:

cos x = 0

that happens for:

`x=(\pi)/(2)+2\pi\cdot n,(3\pi)/(2)+2\pi\cdot n`

and the other possibility is:

sin x= 3 (No solution)

then the final answer is:

x= pi/2, 3pi/2