How do you find the exact values of cot csc and sec for 180 degrees?

COT = Undefined CSC = 0 SEC = -1
When trying to find the values of the 6 trig functions always trying to find the easier counterparts first then just flip the answer.
The six trig functions are
SIN goes with CSC
COS goes with SEC
TAN goes with COT
Therefore the SIN of 180 degrees = 0 so CSC = 0
COS of 180 degrees = -1 so SEC = -1
TAN of 180 degrees = ##(SIN)/(COS)## = ##0/-1## = 0
COT of 180 degrees = ##(COS)/(SIN)## = ##-1/0## = Undefined