If 3sinx-2cosx=\sqrt3cosx, then the value of the cot x is:

RRB Group D 13-Dec-2018 Shift 2 Solved Paper

Question : 37 of 100

Marks: +1, -0

3sinx-2cosx=√3cosx

, then the value of the cot x is:

Solution:

3sinx-2cosx=√3cosx

Divide by sin x

3-2 cotx= √3cotx

⇒cot x=3/{2+√3}×{2-√3}/{2-√3}

={3(2-√3)}/1=6-3√3

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