Draw the diagram
use pythagoras to ger the third side
Read the ratios off the diagram.
remmeber the word
soh cah toa
sin=o/h
cos=a/h
tan/o/a
or if you prefer, you can remember
Some old hags
Can't always hide
their old age
co t=1 / tan
co sec=1 / sin
se c=1 / cos
I am trying to show you that the
first letter of original ratio = third letter of new one.