If tan θ < 0 and cos θ > 0, name the quadrant in which the angle θ lies ______?
- 4th quadrant
- 3rd quadrant
- 2nd quadrant
- None of these
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.
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