What is the best algebra and trigonometry based physics textbook?
'Best' is a bit subjective. Conceptual Physics by Paul Hewitt is certainly one of the most popular; many people enjoy how it is written and it covers a wide breadth of topics at the expense of depth.
I recently purchased Physics, the Human Adventure by Gerald Holton and Stephen Brush and I really like how they've organized the text. The text is geared more toward undergraduates that are non-science majors. There is a heavy focus on history and development of science (the text contains more depth than Hewitt) and the math based exercises do not go beyond the level of most upper level high school courses.
It would be interesting to hear your opinion if you check them both out.
First of all, what are you studying physics for ?
By the way, there are not many options for algebra based physics textbooks unlike calculus based ones, however, most of them are mediocre.
Learn the basics of calculus and you'll have a wide range of options for great rigorous textbooks.
You cam try a calculus based physics book such as giancoli. Doesn't use that much calculus until the beginning e n m.
Separate names with a comma.