Question

Tan100°=

1. tan80°
2. tan280°
3. -tan80°

Answer 1

2. tan 280°

3. -tan 80°

Explanation:

Your calculator can help you figure this out.

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The tangent function is periodic with a period of 180°, so tan(100°) will be equal to tan(100°+k·180°) for any integer k. Answer choices include k values of ±1, so two of them are correct:

• tan(100°) = tan(100° -180°) = tan(-80°)
• tan(100°) = tan(100° +180°) = tan(280°)