Multiple choice

In right angle $\triangle ABD, \angle B={ 60 }^{ o }, \angle A={ 30 }^{ o }$, then $\cot { { 60 }^{ o } } =$

  1. $\sqrt { 3 } $
  2. $\dfrac { 1 }{ \sqrt { 3 } } $
  3. $\dfrac { 2 }{ \sqrt { 3 } } $
  4. $\dfrac{1}{3}$
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B Correct answer
Explanation

In a right triangle ABD, if angle B is 60 degrees and angle A is 30 degrees, then angle D must be 90 degrees. The value of cot(60 degrees) is 1/sqrt(3).

AI explanation

The value of cot 60 degrees is a standard trigonometric ratio. It is defined as the ratio of the adjacent side to the opposite side in a right-angled triangle with an angle of 60 degrees. The value of cot 60 degrees is 1 over root 3.

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