tht means the x-value of the coordinate point is -6 and the y-value of the coordinate point is -5.
the hypotenuse of the triangle formed is equal to sqrt((-6)^2 + (-5)^2) which is equal to sqrt(36 + 25) = sqrt(61).
the side opposite the angle is the y-value = -5.
the side adjacent to the angle is the x-value = -6.
the hypotenuse of the triangle formed is equal to sqrt(61).
the hypotenuse of the triangle formed is always positive, regardless of what quadrant the angle is in.
your 6 trigonometric functions are:
sine = opposite / hypotenuse = -5 / sqrt(61) = -.6401843997
cosecant = hypotenuse / opposite = 1 / sine = sqrt(61) / -5 = -1.562049935
cosine = adjacent / hypotenuse = -6 / sqrt(61) = -.7682212796
secant = hypotenuse / adjacent = 1 / cosine = sqrt(61) / -6 = -1.301708279
tangent = opposite / adjacent = -5 / -6 = .8333333333
cotangent = adjacent / opposite = 1 / tangent = -6 / -5 = 1.2
the angle is in the third quadrant.
in the first quadrant the angle would be arctan(-5/-6) = 39.80557109.
in the third wuadrant, the equivalent angle would be 180 + that = 219.8055711.
you can use your calculator to confirm that the decimal equivalents of the trigonometric function are correct.
i did; they are confirmed to be accurate.
graphically, the angle and the trig function are as shown below, with the trig functions rounded to 3 decimal digits (the calculator does that automatically).
here's a couple of references that might help you to understand.
https://www.dummies.com/education/math/calculus/working-with-trigonometric-ratios-on-the-coordinate-plane/
https://www.purplemath.com/modules/radians3.htm