Maharashtra State BoardHSC Science (General) 11th
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State the quadrant in which θ lies if : cos θ < 0 and tan θ > 0 - Mathematics and Statistics

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Sum

State the quadrant in which θ lies if :

cos θ < 0 and tan θ > 0

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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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