Question 534048: If csc(theta) =2 and sec (theta) is less than 0, in which quadrant does theta terminate?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! If csc(theta) =2 and sec (theta) is less than 0, in which quadrant does theta terminate?
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When it comes to determining signs of reciprocal functions in quadrants I, II, III or IV, it is easier to think in terms of the more familiar functions like sin, cos and tan, because their reciprocals have the same sign.
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cscx like sinx are>0 in quadrants I and II
secx like cosx are<0 in quadrants II and III
Therefore, x must terminate in quadrant II
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