# What is the Value of Tan 0 Degrees ?

## Solution :

The value of Tan 0 degrees is equal to 0.

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,

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

Tan A = $$BC\over AB$$ = $$0\over AB$$ = 0

Hence,  $$tan 0^{\circ}$$ = 0