Posted by Hannah on Wednesday, February 10, 2010 at 12:44pm.
1) Determine the quadrant in which Q lies.
a) sec Q > 0 and cot Q < 0
I know that sec is in quadrant 4 and cot is in 3. Now how do I find the quadrant?
b) csc Q < 0 and tan Q > 0
csc is in quadrant 2 and tan is 3.

math  Reiny, Wednesday, February 10, 2010 at 12:50pm
Do them this way:
a) sec Q > 0 and cot Q < 0
Since the signs of secant and cotangents are the same as the signs of cosine and tangent we could say
cos Q > 0 and tan Q < 0
or
the cos Q is positive and tan Q is negative.
so Q could be in either I or IV and
Q could be in either II or IV
so it looks like Q has to be in IV.
Do the other one the same way.