bobby123694 bobby123694
  • 17-09-2018
  • Mathematics
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In which quadrant is θ located if sinθ is negative and tanθ is negative?

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altavistard
altavistard altavistard
  • 17-09-2018

Review:  sin theta = opp side / hypotenuse, and  

tan theta = opp side / adjacent side.

If sin theta is negative, then the side opposite theta is in either Quadrant III or Quadrant IV.  The tangent function is negative only in Quadrants II and IV.  

Thus, theta is located in Quadrant IV.  It lies between 270 degrees and 360 degrees.


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