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Angle thetaθ is between 0degrees° and 360degrees°, tan thetaθ = minus−1.42814801.Which of the following intervals contain a possible measure for thetaθ? There is at least one correct response. Choose all correct responses.

Question

Angle thetaθ is between 0degrees° and 360degrees°, tan thetaθ = minus−1.42814801.Which of the following intervals contain a possible measure for thetaθ? There is at least one correct response. Choose all correct responses.

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Solution

The tangent function is negative in the second and fourth quadrants.

  1. Second Quadrant (90° to 180°)
  2. Fourth Quadrant (270° to 360°)

So, the possible measures for theta could be in these two intervals.

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