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

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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