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Try: Simplify[Sqrt[Sin[t]^2 + Cos[t]^2]]
I've an update for this error. If I do the following it is working fine. I'm using it in this form in my actual code so that's not an issue, but the form I mentioned above should also work. Any help will be useful. I don't want to look like a fool...
I found an answer, I used assumptions to define the identities. That was able to simplify the expressions. &[Wolfram Notebook][1] [1]: https://www.wolframcloud.com/obj/a32c3c96-7baf-4363-8580-254e4cae1b81