Algebra/Trigonometey (Precal) books with rigor?

[TitoSmooth]

I am an aspiring mathemarician and wanted to know algebra/trig books with rigor. I have sullivan pre cal/ stewart/mcguie and these are extremely easy books. I enjoy the sullivan book because of its wide range of topics( introduction to vectors) but the exercises are extremely easy.

The best pre cal book I own is by Cohen and the problems are harder then the other books I own.
Yet I want to get a book or more that are more challenging then Cohen. Any ideas?

 

[Saitama]

You can try this one:
https://www.amazon.com/dp/1418185094/?tag=pfamazon01-20

This book is very very old so the presentation of material is quite different from the current trend.

 

[xristy]

Serge Lang and I.M. Gelfand

You can consider Serge Lang's Basic Mathematics and the two books by Gelfand Trigonometry and Algebra

 

[eumyang]

How about another old one: Principles of Mathematics by Allendoerfer/Oakey?