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Find the exact value. tan210°

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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.

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User Mate Varga
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