MCQ

The principal solution of the equation cot x=`-sqrt 3 ` is

#### Options

`pi/6`

`pi/3`

`(5pi)/6`

`(-5pi)/6`

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#### Solution

`(5pi)/6`

`cot x =-sqrt 3`

`cotx= -cotx`

we know `cotx` is negative in 2nd and 4th quadrant so, we convert this 2nd or 4th

now

`cotx=-cotx=cot (pi-(5pi)/6)`

`x=(5pi)/6`

also

`cotx=cot (2pi-(11pi)/6)`

`x=(11pi)/6`

only option given is `(5pi)/6`

Concept: Inverse Trigonometric Functions - Inverse Trigonometric Functions - Principal Value Branch

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