If tan θ < 0 and cos θ > 0, name the quadrant in which the angle θ lies ______?
If tan θ < 0 and cos θ > 0, name the quadrant in which the angle θ lies ______?
Explanation
Given tan θ < 0 and cos θ > 0:
Since cos θ > 0, θ lies in either the 1st or 4th quadrant.
Given tan θ < 0, θ lies in either the 2nd or 4th quadrant.
Combining both conditions, θ must lie in the 4th quadrant.