in which quadrant does x lie,if tan x = -1
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Tan is negative in the second and fourth quadrant, that is between the angles Pi/2 and Pi (second quadrant) and between the angles 3pi/4 and 2Pi (fourth quadrant). For theta = pi/4 (45 degrees) the tan of the angle is 1. For tan to be -1, the angle would be (Pi - Pi/4) and (2Pi - Pi/4).
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