evaluate the following composite expressions please provide A sketch of the right triangle related to the inside expression. easily understandable explanation

Question

cot(arcsec(-5/3))

Answer 1

secx =-5/3

cosx =1/secx = -3/5

x is in quadrant 2 or 3

270<x<90

x= about 126.87 degrees or 233.13 degrees

but range of arcsecant x is 0 to pi, so ignore 233.13

cotx =1/tanx = 1/ -1.333...= 1/-4/3= -3/4 = -0.75

secx = hypotenuse over adjacent side = h/a = 5/-3

opposite side = o = sqr(h^2 -a^2)= sqr(25-9)=sqr16= 4

cotx =a/o = -3/4 = -0.75