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In which quadrant does θ lie if the following statements are true:secant, theta, is greater than, 0, and , cosecant, theta, is less than, 0secθ>0 and cscθ<0

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Solution 1

1. Break Down the Problem

To determine the quadrant in which the angle θ \theta lies, we analyze the given trigonometric functions:

  • secθ>0 \sec \theta > 0 indicates that the cosine function must be positive.
  • cscθ<0 \csc \theta < 0 indicates that the sine function must be negative.

2.

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