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If tanθ < 0 and cosθ > 0, name the quadrant in which θ lies?

If tanθ < 0 and cosθ > 0, name the quadrant in which θ lies?

Explanation
  • tanθ < 0 means that sine and cosine have opposite signs (one positive, one negative).
  • cosθ > 0 means cosine is positive, which occurs in Quadrants I and IV.

  • Since tanθ is negative in Quadrant IV, the correct answer is Quadrant IV.