In a right triangle, if the adjacent side has value -3 and the hypotenuse has value 4, the opposite side has value √(16 - 9) = √7.
Since the cos has a negative value, it must lie in either the second or the third quadrant.
In the second quadrant, the opposite side has value √7 while in the third quadrant, the opposite side has value -√7.
csc = hyp/opp cot = adj/opp
In quadrant II, csc = 4/√7 and cot = -3/√7
In quadrant III, csc = 4/-√7 = -4/√7 and cot = -3/-√7 = 3/√7.
In a right triangle, if the adjacent side has value -3 and the hypotenuse has value 4, the opposite side has value √(16 - 9) = √7.
Since the cos has a negative value, it must lie in either the second or the third quadrant.
In the second quadrant, the opposite side has value √7 while in the third quadrant, the opposite side has value -√7.
csc = hyp/opp cot = adj/opp
In quadrant II, csc = 4/√7 and cot = -3/√7
In quadrant III, csc = 4/-√7 = -4/√7 and cot = -3/-√7 = 3/√7.