Next live high school class in ~2 hours
Added 2020-04-21 16:48:33 +0000 UTCThis lesson will be on the fundamentals of trigonometry. I hope to see you there!
Comments
Grant, at 0:30:40 you ask: "How do we compute values for sine/cosine? The honest answer is that it's hard." (You mention the CORDIC algorithm.) Then you use the double-angle identity to show how to work out a few sine/cosine values by hand. Interestingly, that algorithm for calculating cosine (by hand!?) has been generalized so that you can simply look at an angle (in a certain form) and describe the exact symbolic representation of its cosine: cos(PI * X / 2^n) [X is an integer < 2^n] See: http://Math.FowkesFamily.com Thoughts?
2020-09-02 23:33:00 +0000 UTCWe learnt trig using the unit circle in school, which I agree makes a lot more sense than memorising "SohCahToa" which used to be taught back in the 60s and 70s where I grew up, but not in our generation.
2020-04-21 20:30:33 +0000 UTCGreat live video as always. The one thing I would suggest changing is how to think of Tan(x) in terms of the unit circle. Just like the X and Y axes that are the Cos and Sin lines respectively, the lines (x = 1) and (y=1) are both tangents to the unit circle and are Tan and Cot lines ( or "axes"). No need to have that unwieldy tangent that moves with the angle. This makes it much easier to visualise and remember Tan and Cot of simple angles, and see how they behave asymptotically. For instance, it's trivial to see why Tan(45°) = 1 and Tan(90°) -> ∞.
2020-04-21 20:29:30 +0000 UTCAwesome!
2020-04-21 20:17:09 +0000 UTCInspect element and then you can change the label on the button to mess up the form.
2020-04-21 19:55:59 +0000 UTCI was actually going to write you to half-jokingly suggest you do some Kindergarten/1st-grade math videos as my almost-6-year-old has adopted my pi-creature-plushie and says he wants 2 more blue ones and 1 big brown one so he can play with them and have his own math class!
The Great Quux
2020-04-21 18:05:53 +0000 UTC
