Find values of the trigonometric function a t from the given information

sin t = -5/13, cos t < 0

sin(t) = -5/13
cos(t) < 0

sin(t)^2 + cos(t)^2 = 1
(-5/13)^2 + cos(t)^2 = 1
(25/169) + cos(t)^2 = 1
cos(t)^2 = 144/169
cos(t) = +/- 12/13
cos(t) = -12/13

tan(t) = (-5/13) / (-12/13) = 5/12

csc(t) = 1 / sin(t) = 1 / (-5/13) = -13/5
sec(t) = 1 / cos(t) = 1 / (-12/13) = -13/12
cot(t) = 12/5