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## Homework Statement

I'm trying to simplify some trigonometric expressions, I'm attaching my work here. This comes from a famous physics problem i.e. the rod with two masses spinning on a circle. I've tried many times but I just can't get it. Any help on which identities to use would really help me.

## Homework Equations

I'm attaching the simplified version, the 'answer'

## The Attempt at a Solution

I'm attaching my work.