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I am a first year engineer student here in my country we have a first preparatory year so I was looking for a deep understanding book for trigonometry

Because I have always had a hard time with this hyperbolic and cosecant and inverse functions thing

So if any one could recommend a set of books in order to read to really understand and have a deep look at this subject would be great

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You can't go wrong with any of Gelfand's books. I would recommend his book "Trigonometry."

https://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144