jayman1852 jayman1852
  • 23-12-2020
  • Mathematics
contestada

If cot theta is greater then 0 or sin theta is smaller than 0 then terminal arm of an angle lies in quadrants

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ajeigbeibraheem
ajeigbeibraheem ajeigbeibraheem
  • 24-12-2020

Answer:

4th quadrant

Step-by-step explanation:

Given that:

cot θ > 0  or  sin θ < 0

[tex]cot \theta = \dfrac{1}{tan \theta}[/tex]

where;

[tex]tan \theta = \dfrac{sin \theta}{cos \theta}[/tex]

∴

If [tex]cot \theta = \dfrac{cos \theta}{sin \theta}>0[/tex] or sin θ < 0, then the terminal arm of the angle lies in the 4th quadrant

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