Posted by Anonymous on Monday, March 2, 2009 at 11:04pm.
Determine the quadrant in which theta lies:
sec theta>0 and cot theta<0

precal  drwls, Monday, March 2, 2009 at 11:11pm
sec theta is positive where cos theta is positive. That would be the first and fourth quadrants. Cot theta is negative where tan theta is negative, and that would be in the second and fourth quadrants. The only quadrant that satifies both criteria is the fourth.

precal  Anonymous, Monday, March 2, 2009 at 11:25pm
why is sec theta positive where cos theta is positive?

precal  drwls, Monday, March 2, 2009 at 11:30pm
because sec theta = 1/cos theta.
Both functions have the same sign
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