Write the following trigonometric ratio using an acute angle: tan 162 degrees

-tan (18°) or tan (-18°)

Step-by-step explanation:

The angle given is in the 3rd quadrant, so the tangent is negative. The reference angle is ...

180° - 162° = 18°

Tangent is an odd function, so ...

tan (-x) = - tan (x)

This means we can write the required ratio two ways:

tan (-18°) - tan (18°)