State the quadrant in which θ lies if :
cos θ < 0 and tan θ > 0
cos θ < 0
cos θ is negative in 2nd and 3rd quadrants.
tan θ > 0
tan θ is positive in 1st and 3rd quadrants.
∴ θ lies in the third quadrant.
Concept: Signs of Trigonometric Functions in Different Quadrants
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