Posted by Anonymous on Monday, February 20, 2012 at 8:07pm.
Since cot x = cos x / sin x, if cot x = 1/2, with the angle x in the first quadrant,
then cos x = 1 and sin x = 2
(1) State true or false. Is this a possible situation?
(2) If false, explain why.

trig  Reiny, Monday, February 20, 2012 at 8:14pm
no way!
sinx x has to be a value between 1 and +1, can't be 2
since cot x = 1/2 > opposite = 2, adjacent = 1
construct a triangle with sides 1 and 2, the hypotenuse then is √5
cosx = 1/√5
sinx = 2/√5