1.

`cotx=-sqrt(3)`

Answer» `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.


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