Thanks so much for pointing that out! I really appreciate your attention to detail. I'll make a note of it for future videos. Glad you enjoyed the rest of it!
Great visualization. Another comment : isn t it weird that your approximation of tan x is above the actual tan x curve for large x after the x^7 term ? Wouldn't you only add more positive terms afterwards, making it even further away from the red curve ?
My bad. I wrote down a general expression for the tan(x) expansion in code, but I think that's more complicated than I thought. Sorry for the logical error. However, the terms on the bottom are correct. I'm really glad that you're paying attention to the details, and I appreciate the feedback!
Looks really cool! I love it! But one small mistake: the function shown on the bottom left is one term behind the function plotted on the graph
Thanks so much for pointing that out! I really appreciate your attention to detail. I'll make a note of it for future videos. Glad you enjoyed the rest of it!
Great visualization. Another comment : isn t it weird that your approximation of tan x is above the actual tan x curve for large x after the x^7 term ? Wouldn't you only add more positive terms afterwards, making it even further away from the red curve ?
yes it is weird and probably wrong
My bad. I wrote down a general expression for the tan(x) expansion in code, but I think that's more complicated than I thought. Sorry for the logical error. However, the terms on the bottom are correct. I'm really glad that you're paying attention to the details, and I appreciate the feedback!