Question

How do you solve the equation `3cotx+1=2+4cotx` for `-180^circ<x<360^circ`?

Answer 1

`x=-45^circ,135^circ,315^circ`

Explanation:

After rearranging we get:
`cotx=-1`

`tanx=-1`

`x=tan^-1(-1)=-45,(180-45),(360-45)`

`x=-45^circ,135^circ,315^circ`