If you can give me steps or examples to how to get the exact value that will be great.
2 Answers

csc 5pi/4
=1/sin(pi+pi/4) = 1/(sinpi/4) = 1/(1/sqrt2 )= sqrt 2 = 1.414

sqrt(2)
Why?
First we find the reciprocal of csc, which is: sin(5pi/4),
Then just flip it.
We know sin(5pi/4) = (sqrt2)/2
So csc(5pi/4) is simply: 2/(sqrt2) or simplified as (sqrt2)
You can check these answers on a calculator for thoroughness, i did...and both decimals came out to be equal.
Good luck!