🆕 Dr. Peyam's Show: Integral of the square root of x^2 - 1
YouTube
Integral of sqrt(x^2-1)
In this video, the last one of the integral-trilogy, I find the antiderivative of the square root of x^2 - 1. The method is surprisingly similar to the one of the square root of x^2 + 1, and I recommend you see that one first, because it uses the formula…
🆕 MindYourDecisions: Puzzle - If AAA + BBB + CCC = BAAC, What Are A, B, C = ?
YouTube
Puzzle From A Math Teacher - If AAA + BBB + CCC = BAAC, What Are A, B, C = ?
Luuk stumped his math teacher with one of my puzzles. Then his math teacher gave him a problem that Luuk suggested to me. If AAA + BBB + CCC = BAAC, what is the value of each digit? The digits are distinct and whole numbers from 1 to 9. Watch the video for…
🆕 blackpenredpen: proof of angle sum formulas for sine and cosine
YouTube
Angle sum identities for sine and cosine
use complex numbers: https://www.youtube.com/watch?v=OcXqF8l2crI
proof of angle sum formulas for sine and cosine,
sin(a+b)=sin(a)cos(b)+cos(a)sin(b),
cos(a+b)=cos(a)cos(b)-sin(a)sin(b),
triangle proof,
angle addition identity of sine,
angle addition…
proof of angle sum formulas for sine and cosine,
sin(a+b)=sin(a)cos(b)+cos(a)sin(b),
cos(a+b)=cos(a)cos(b)-sin(a)sin(b),
triangle proof,
angle addition identity of sine,
angle addition…