My math teachers were always grumpy. They were like, i have to do this because i need to get paid. You are like, i get paid anyway, so why not teach with great enthusiasm. Love it. God bless you. 😊❤️❤️❤️❤️ You have no idea, how much you are helping students. I am sure, kids are coming back to your videos, in order to understand what they were supposedly " taught " in schools.
The more I learn about math, the more I think that we are very illiterate. Cause math is a language, being good at math is more about understanding meanings than about computing power.
EXACTLY not everyone has photographic memory and a super computer brain to just memorise equations my brain doesn’t learn anything unless I fully understand the how and why which is also why my friends think I’m super weird because I ask the most unusual questions to them even though I need to ask it to fully wrap my head around everything or it doesn’t lock into my knowledge
Love your teaching style!! I'm 35, working as a CAD drafter and trying to fill in the gaps of my education. Thank you for all the work you do in breaking this down for your class and all of us on the internet : )
I've learned more about math from this video than all my my senior year. Great explanation vs what I got. "Here's how to do the math. Memorize it. Test is next week"
I'm a 35 year old going back to school to study Data Analytics and Business Analytics, and the curriculum very strangely throws us into Calculus when the majority of students haven't even done precalculus... Suffice to say I am completely lost in the precourse material. This explained in less than an hour what I missed from years of just memorizing trig from teachers who didn't really understand it themselves. Truly amazing stuff, I hope this man is still teaching.
Loved the way you explain. This is the first lecture I watched on RU-vid on trigonometry And this 10min worth much more than 1 hr in class. With( nonsense teacher 🤮).
We use a unit circle to teach this, because of the KISS principle. "Keep it simple, silly" If it isn't a unit circle, then instead of x=cos(theta) and y=sin(theta), you end up with x=r*cos(theta) and y=r*sin(theta), where r is the radius of the circle. When it is a unit circle, r is defined to equal 1, so that multiplying by r is not necessary. Simple matter of scaling, if it is a circle in general instead of a unit circle. But making it a unit circle simplifies it, so we can focus on how x and y positions relate to theta in the simplest case.
Sir We took help of 90 degree triangle to understand the x and y coordinate value of a point on perimeter, For the first quadrant it is ok to understand this by drawing right angle triangle... But for angle greater than 90 it is difficult to visualize what is actually happening there... Like how a sin 90+ theta becomes cos theta. Please do make me visualize this transformation Thank you
This is really helpful and he is a great teacher but there is a gap between the last video and this one.. So I missed the part about tan.. and then he refers back to it in this one so it's hard to carry on with parts missing.
Hi. Sorry i have a quastion in 10:00 You draw a dot on circle and name it (cos,sin)... But i think it's (-cos,sin) because the dot is in the minus part of (cos)(part 2). Am i right???
it's still (cos, sin), but the cos theta for that dot is a negative number. the same way that the x coordinate is a negative number, but it's not a negative variable.
@@mehrdadbasiri9968 yes. cos and sin are functions. so generally no matter where you are on the unit circle, the x and y coordinates are defined by cos and sin of the angle. they do not have a sign because they have been evaluated yet. then when they are evaluated, like in part 2, the cosine of theta is a negative number. in other words, the OUTCOME of cos theta is a negative number, but the x coordinate is not (-cos).
In this context, it refers to a compass direction that is measured clockwise from north as a convention, such that north is 0 degrees, east is 90 degrees, south is 180 degrees, and west is 270 degrees.
Constructive criticism... Your subject is very important. But you need to write and speak clearly. Your writing is very small and cannot be read. Your speaking style is very annoying because you do not speak clearly.
