# Question #0a9ed

##### 1 Answer

and

The original condition repeats at any integer multiple of a full rotation of these angles.

#### Explanation:

According to reciprocal identities,

Therefore,

The tangent function is negative in the 2nd and 4th quadrant, and the inverse tangent function returns negative angles for negative values. To convert the negative angle into the two possible angles, we need to add

and

and

and

The process is the same for radians but you add