Question

In which quadrant does θ lie if the following statements are true:
cos
⁡
θ
<
0
and
cot
⁡
θ
>
0
cosθ<0 and cotθ>0

Answer 1

Answer:

Step-by-step explanation:

Hence cot θ =cosθ / sinθ < 0 and sin θ < 0 that means that cos θ >0 hence θ lies on IV quadrant.

Hope this helps!

Answer 2

Quadrants are simply one of the four quarters of a coordinate plane.

The angle θ is in the third quadrant

The given parameters are:

cosθ<0 and cotθ>0

If cotθ>0, then it means that:

tanθ>0

So, we have:

cosθ<0 and tanθ>0

When tangent is positive, and cosine is negative; then the angle is in the third quadrant.

Hence, the angle θ is in the third quadrant

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