write y= csc x in terms of y= sec x

Question

My answer is Y= sec (π/2-x) but I think is wrong because the options are y= sec (x-π/2) , y= sec (x+3π/2) , y= -sec (x+π/2) , y= -sec (x-3π/2) , or "all of these"

so which one should i pick? Is y= -sec (x+π/2) the same as y= sec (π/2-x) ?

Answer 1

cscx= sec(x-90)