Three trigonometric functions for a given angle are shown below. cosecant theta equals 13/12 secant theta equals -13/5, cotangent equals -5/12. where are the coordinates of point (x, y) on the terminal ray of angle theta assuming that the values above not simplified ?

the hypotenuse, or "r" radius, is just a unit length, thus is never negative, so, if the fraction is negative, is not due to the hypotenuse, is due to the other component, so, in the case of -13/5, the 13 can't be negative, so it has to be the 5 that makes the fraction negative, thus the adjacent side is -5.