What quadrant does theta 2 lie in?

Since θ is in the second quadrant, π2<θ<π. Dividing through by 2, we find π4<θ2<π2, so θ2 is in the first quadrant.

In which quadrant does θ lie if the following statements are true cos theta 0 \text and tan theta 0 Cosθ 0 and Tanθ 0?

The only quadrant for which both these conditions are true is quadrant 3.

In which quadrant does θ lie if the following statements are true tan θ 0 and sin θ 0 Tanθ 0 and Sinθ 0?

Therefore: In Quadrant I, cos(θ) > 0, sin(θ) > 0 and tan(θ) > 0 (All positive). For an angle in the second quadrant the point P has negative x coordinate and positive y coordinate. Therefore: In Quadrant II, cos(θ) < 0, sin(θ) > 0 and tan(θ) < 0 (Sine positive).

In which quadrant is θ located if Cosθ is positive and Cotθ is negative?

Both cos(θ) and cot(θ) are negative in QII.

In which quadrant does θ lie if the following statements are true sin theta 0 \text and SEC Theta 0 Sinθ 0 and Secθ 0?

2 Answers By Expert Tutors This is in quadrant III (QIII), therefore QIII answers your question.

In which quadrant S can θ lie if tan θ 0?

fourth quadrant Q4
Accordingly, both tanθandsinθ are < 0 in the fourth quadrant Q4.

Where does θ lie if Tanθ 0 and Sinθ 0?

∴ θ lies in the 3rd quadrant.

In which quadrant does θ lie given that Sinθ 0 and Cosθ 0?

For an angle in the fourth quadrant the point P has positive x coordinate and negative y coordinate. Therefore: In Quadrant IV, cos(θ) > 0, sin(θ) < 0 and tan(θ) < 0 (Cosine positive).

Which quadrant does sin (- θ lies?

Quadrants and the “cast” Rule In the first quadrant, the values for sin, cos and tan are positive. In the second quadrant, the values for sin are positive only. In the third quadrant, the values for tan are positive only. In the fourth quadrant, the values for cos are positive only.