Hello and a pleasant day to all!
For a couple of months, I've been studying math on my own accord, with a mild goal of mastering every pre-calculus topic by the end of summer. Tomorrow would mark the end to my Trigonometry course, which I assume would be the last of the topics I'd need before taking pre-calculus. The problem is, however, in regard to the speed at which I am passing through topics, I am not sure if I am being exposed enough to topics to fully comprehend them, and am also not sure if i am 100% not missing out on any important subjects without notice.
I've started from 8th grade basics and in 2 months time finished Algebra I&II, Geometry, Trigonometry. The reason why I am not sure if i am being exposed to everything I need is mainly because i study from one source, Khan Academy , and then delve over parts i don't understand.
Trigonometry, for instance , took less than 4 days till it's over. Finishing a unit-a-day I went through not knowing what a Sin or Cosine was to solving what I'd say pretty hairy problems in the span of less than a week.
I genuinely don't want for this to come as if it's bragging, as I am really concerned at the end of the day I would forget all this when I need them for later and all my studies would go to waste.
As it is summer, I can study up to 7-10 hours a day comfortably so time isn't a constraint, with that what are some good sources in either English or French that I can study through great extend everything I may need to know before getting ready for calculus?
(I would also greatly appreciate if you there were any free resources where I can solve human-made problems for any of the topics listed, or any other general tips that you think would be of importance studying high-school math.)