In which quadrant does θ lie if the following statements are true: sine, theta, is less than, 0, and , tangent, theta, is greater than, 0 sinθ<0 and tanθ>0 Answer
If sinθ < 0, it means that the sine of θ is negative. Since sine is negative in the second and third quadrants, θ could lie in either the second or third quadrant.
If tanθ > 0, it means that the tangent of θ is positive. The tangent function is positive in the first and third quadrants. Therefore, θ could only lie in the third quadrant.
Therefore, based on the given statements, θ lies in the third quadrant.