Determine the quadrant containing the angle θ if tan θ < 0 and sec θ < 0.*Quadrant IQuadrant IIQuadrant IIIQuadrant IV
Question
Determine the quadrant containing the angle θ if tan θ < 0 and sec θ < 0.*Quadrant IQuadrant IIQuadrant IIIQuadrant IV
Solution
The tangent of an angle is negative in the second and fourth quadrants, while the secant of an angle is negative in the second and third quadrants. Therefore, the angle θ, for which both tan θ < 0 and sec θ < 0, must be in the second quadrant.
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