I read from cotangent to cottage curtains.

This symbol Θ is Theta:

https://simple.wikipedia.org/wiki/Theta

The classic Quadrille dance:

https://youtu.be/YHhMvu_9r6U

A modern take on the cotillion dance:

https://youtu.be/PxJwow2Ygzc

The word of the episode is "cothurnus".

https://en.wikipedia.org/wiki/Buskin

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