Uploaded March 2026 | Updated September 2026, 2 weeks ago
Answering a viewer's question today! Here's a triangle where the sides are ln(x), ln(2x), ln(3x), along with an angle we know, and using the law of cosines.
The logarithmic RIGHT triangle: youtu.be/CMdJPwEbE8A?si=3ncgwcOITTNScAj2
Law of cosines proof: youtu.be/843Uw-Hj-OQ?si=3pAxucAji-974Vpr
π Shop my math t-shirts & hoodies: π amzn.to/3qBeuw6
π Support this channel patreon.com/blackpenredpen
#blackpenredpen #calculus
Answering a viewer's question today! Here's a triangle where the sides are ln(x), ln(2x), ln(3x), along with an angle we know, and using the law of cosines.
The logarithmic RIGHT triangle: youtu.be/CMdJPwEbE8A?si=3ncgwcOITTNScAj2
Law of cosines proof: youtu.be/843Uw-Hj-OQ?si=3pAxucAji-974Vpr
π Shop my math t-shirts & hoodies: π amzn.to/3qBeuw6
π Support this channel patreon.com/blackpenredpen
#blackpenredpen #calculus










