Find the value of tan (-1125°).

To simplify angles greater than $$360^\circ$$​ (or less than $$-360^\circ$$​), we reduce them by using the property of periodicity. The tangent function is periodic with a period of $$180^\circ$$​.

This means:

​$$\tan(\theta + 180^\circ n) = \tan(\theta)$$ 

for the period of $$90^0$$ 

$$\tan(90^0n + \theta) = \cot \theta$$ ​

Where n is an integer. 

$$\implies\tan ( - \theta) = -\tan \theta$$