63.3k views
1 vote
Find the exact value. tan210°

User Eitanlees
by
4.7k points

1 Answer

0 votes

Answer:

1 / √3

Explanation:

210° is in Quadrant III, and is 30° past 180°. Thus, the opp side is negative and could be represented by -1. The adj side is also negative and could be represented by -√3.

Thus, the tangent of 210° is opp / adj = -1 / (-√3), or 1 / √3.

This could also be written as √3 / 3.

User Mate Varga
by
4.8k points