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As you approach from less than 90°, the tangent of the angle increases towards positive infinity.

As you approach from greater than 90°, the tangent approaches negative infinity.

Example:

  • tan(89°) = 57.29
  • tan(89.9°) = 572.96
  • tan(91°) = -57.29
  • tan(90.1°) = -572.96
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Q: What happens to the tangent of an angle as the measure of the angle gets close to ninety degrees?
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