# The principal solution of the equation cot x=-√3  is - Mathematics and Statistics

MCQ

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

#### Options

• pi/6

• pi/3

• (5pi)/6

• (-5pi)/6

#### 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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