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I will begin studying calculus this or next week. I'm registered for the online version of U of Wisc's Calculus and Analytic Geometry. It's the standard, non-honors class, so we're using Thomas and Finney. Because I foresee wanting a deeper understanding of the subject, I will also be working through Spivak's Calculus concurrently.

I spent the last few weeks reviewing precalc topics. I'm all set, I just have one specific question: which trig identities should I be able to pull out automatically? I'm highly motivated in studying - and I hate the feeling of coming across something I don't know due to prior laziness - but I also abhor bad/wasted studying time. I'd rather not spend a few days cramming dozens of trig identities into my head if there's really no point. I'd rather spend those days reading the beginning of Spivak, laying some conceptual foundations.

Thanks in advance for your opinions!