# State the quadrant in which θ lies if : cos θ < 0 and tan θ > 0 - Mathematics and Statistics

Sum

State the quadrant in which θ lies if :

cos θ < 0 and tan θ > 0

#### Solution

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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