Find the principal and general solution of `cotx=-sqrt(3)`

Explanation

`cotx=-sqrt(3)=-cotpi/6`
`rArr cotx=cot(pi-pi/6)`or `cot(2pi-pi/6)`
`rArr cotx=cot(5pi)/(6)` or `cot(11pi)/(6)`
`rArr x=(5pi)/(6)` or `(11pi)/(6)`
Therefore, for the equation `cotx=-sqrt(3)`
Principle solution is `x=(5pi)/(6)` or `(11pi)/(6)` Ans. and general solution is `x=npi + (5pi)(6), n in Z`, Ans.