how to remember trig derrivatives/integrals

I can never seem to remember what all the trig functions differentiate/integrate too, I've tried using a formula sheet when doing questions to help me remember and this hasn't helped. I really struggle to just remember things i need to be able to see where the fact comes from (like i could never learn the exact values because at gcse no one explained where they came from but once i saw the graphs i understood) so if anyone has any ideas on how i can sort of figure it out for myself instead of just remembering them outright i think that would help me remember them.

Please let me know of any tips for how to work these out/ remember them as my exams are coming up and this is such an annoying way to drop marks when i know how to integrate by parts but forget what cos integrates too.

Reply 1

mqb2766

Original post by C0gg

I can never seem to remember what all the trig functions differentiate/integrate too, I've tried using a formula sheet when doing questions to help me remember and this hasn't helped. I really struggle to just remember things i need to be able to see where the fact comes from (like i could never learn the exact values because at gcse no one explained where they came from but once i saw the graphs i understood) so if anyone has any ideas on how i can sort of figure it out for myself instead of just remembering them outright i think that would help me remember them.
Please let me know of any tips for how to work these out/ remember them as my exams are coming up and this is such an annoying way to drop marks when i know how to integrate by parts but forget what cos integrates too.

What do you understand about trig differentiation / integration? Id write down each of the relationships you need to know and think / ask about them individually. To get started if you can sketch the sin and cos curves, it should be fairly easy to convince yourself that
sin <-> cos <-> -sin <-> -cos <-> sin ....
(where differentation goes left to right and integration right to left) just by thinking about what the curves look like (value and tangent (derivative)) around 0.