How to expand COSECANS into rows?

Question

Programming

csec = 1/sin(x)there is information on the decomposition of the sine on the Internet, but I can’t understand how to apply it to the cosecant, even knowing that I can’t.
who is more experienced, please tell me, or give a link to a resource where it is written how to decompose
UPD1:
task:
Based on the well-known expansion formula in a power series, develop an algorithm and write a console program to calculate the value of a function of a given argument

Answer 1

www.wolframalpha.com/input/?i=taylor+series+1%2Fsi...