Question

In which quadrant does θ lie if the following statements are true: tangent, theta, is less than, 0, and , secant, theta, is greater than, 0 tanθ<0 and secθ>0 Answer Multiple Choice Answers Quadrant IQuadrant I Quadrant IIQuadrant II Quadrant IIIQuadrant III Quadrant IVQuadrant IV

Answer 1

The correct quadrant in which θ lies is Quadrant IV.

Step-by-step explanation:

Based on the given conditions, we can determine the quadrant in which θ lies.

Given that tangent(θ) < 0 and secant(θ) > 0, we can conclude the following:

• In Quadrant II, both tangent and secant are negative.
• In Quadrant IV, tangent is negative and secant is positive.

Therefore, the correct answer is Quadrant IV.