Prof Eddie, I tried calculating the principal argument theta for z= -1 + i but my book says that it is 3pie/4 and the root is ,/2..... How is that possible?
You're measuring the argument in the second Quadrant, so you have to measure the longer arc, from the positive real axis to Z. If you look to cos theta = SQRT(2)/2, you'll get the intern angle (measured from the negative real axis to Z), not the arg Z.
@@JaceGameplay could that modulus be coming from the origin and bisect left? Because I just see sort of a square with the 90 degree angle and I’m assuming the modulus would be a hypotenuse. There would be another 45 degree angle in which I could no think of any other option but to add that with the 90 degree angle to make 3pie/4. However that’s not the definition of a principal argument
You're such a great teacher, thank you!
2:22 *casually draws a perfect straight line*
3:17 soo smooth
Thanks Edie Woo for helping me in my University Entrance exam in near the end, love ~ from Vietnam
such a good teacher with genuine enthusiasm.
love from Bangladesh
Wow, that zoom was cool. Mr. Woo, you got a nice high res camera xD
The great mathmatician - Eddie woo. I am a big fan of you. I want to meet with you but I am in India 🇮🇳 . 😭
Teachers teach math in the same concept but the way explaining is interesting.
I love you Eddie Woo
I LOVE YOU , MR WOO. love from Kazakhstan 🇰🇿
Prof Eddie, I tried calculating the principal argument theta for z= -1 + i but my book says that it is 3pie/4 and the root is ,/2..... How is that possible?
You're measuring the argument in the second Quadrant, so you have to measure the longer arc, from the positive real axis to Z.
If you look to cos theta = SQRT(2)/2, you'll get the intern angle (measured from the negative real axis to Z), not the arg Z.
@@JaceGameplay could that modulus be coming from the origin and bisect left? Because I just see sort of a square with the 90 degree angle and I’m assuming the modulus would be a hypotenuse. There would be another 45 degree angle in which I could no think of any other option but to add that with the 90 degree angle to make 3pie/4. However that’s not the definition of a principal argument
are you teaching complex analysis to high schoolers?
Complex analysis involves differentiating functions of complex inputs. This is more like complex algebra.
this is just intro to complex numbers. complex analysis is way more cooked
What course is this?
Year 12 highschool math
how i wish you were my maths teacher
best ever
7th on comments btw.
I which this teacher was in school
Too much talking and explanation get to the point and stop journaling the explanation
mf it’s school he’s a teacher he’s supposed to explain shit
ur mom