How to use factoring by grouping to simplify a trig expression

The video tutorial explains the process of factoring by grouping, using an expression with four terms. The instructor demonstrates how to separate the terms into two groups, factor out the greatest common factor (GCF) from each group, and ensure the resulting expressions are identical. The tutorial concludes with simplifying the expression and discussing potential further simplifications.

Why is it important for the terms to be the same when factoring by grouping?

What can cosecant squared of X minus one be rewritten as?