# What is the Value of Cot 0 Degrees ?

## Solution :

The value of Cot 0 degrees is equal to $$\infty$$ or not defined.

Proof :

$$\angle$$ A is made smaller and smaller in the right $$\Delta$$ ABC till it becomes zero. As $$\angle$$ A gets smaller and smaller the length of the side BC decreases. The point C gets closer to the point B and finally when $$\angle$$ A becomes very close to 0 degrees, AC becomes almost the same as AB, and BC gets very close to 0.

By using trigonometric formula,

Cot A = $$base\over perpendicular$$ = $$b\over p$$

Cot A = $$AB\over BC$$ = $$AB\over 0$$ = $$1\over 0$$, which is not defined.

Hence,  $$cot 0^{\circ}$$ = $$\infty$$ or not defined.