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  • 14-05-2020
  • Mathematics
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Write the following trigonometric ratio using an acute angle: tan 162 degrees

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sqdancefan
sqdancefan sqdancefan
  • 14-05-2020

Answer:

  -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°)
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