It's all on the unit circle. My teacher gave my class copies of it and it's very helpful. I suggest printing one out and putting it in your notes if you have them!
@@nikhilthampi734 ohh hi there! Engineering in college is like a little bit harder especially on the major ones, if you are good at math like calculus on your jhs and shs it's like bonus on your field as a engineering. I suggest master or study basic algebra and trigonometry. Really helpful. But dont worry if you are not good enough in math(just like me) i just ran into this channel and got passing grades during exam hahaha
beating my head against a wall for 5 hours trying to understand what my professor is saying. Halfway through your video and it all makes sense. You are a blessing.
This channel is the reason I got accepted into college I swear😂 literally I don’t know why I understand it all 1000% more when it’s explained this way than when my teachers would explain it.
I’ve been using this channel as a resource for year in high school and now in my first year of engineer in college I’m still finding his videos so valuable. Thank you so much for creating easy to understand content. We all appreciate it very much
You should note that tan^-1 does not include the pi/2 or -pi/2 for the range, since you would technically be dividing by a zero which is undefined. Therefore, your range for inverse tan is (pi/2, -pi/2), not [pi/2, -pi2].
F. Tomorrow is my test, and in the latter half of the unit I spent more time doing homework for other classes than paying attention to this class lol, so this is a last minute study session.
Broo, you’re really out here doing the Lord’s work! Like God bless you for real. 😢 I was sitting in the library feeling all kinds of frustrated and ONCE AGAIN the OG Chem Tutor saves the day. I bet you real life just sitting behind the desk with a cape on. Doing it real big. Your new name is Tutor Teresa. Feeding the intellectually hungry and serving the mentally poor. Thank you brother.
I know you get a lot of comments like this but truly thank you for this content. My teacher expects us to understand all of this within a 1 hour class time, and thanks to you, I can figure out what to actually do. Thank you so much.
My teacher explains so fast that it ends up leaving me stumped by the end of her lessons, this video allowed me to take my time and pause to understand what was going on (and now I fully understand!) Thank you so much!
Hey organic chemistry tutor! please release some merchandise with your FULL name on it! I think it would be far more popular than any of the prints you have now. “The organic chemistry tutor” written on a hoodie would be amazing!!!
it cannot be said enough how much of a blessing this channel is. I am taking an online pre calculus class and it is unbearable to try and teach myself everything from the textbook. Rather than show the work, the textbook takes lots of time to explain derivations. It is so annoying. I work full time, am taking another class (biochemistry), shadowing at a hospital, applying to PA school, and next week is finals week. YOU ARE SAVING MY LIFE LOLOL THANK YOU
It's like you're reading my mind. I was taught this in class THE DAY THIS CAME OUT, didn't understand it. Now I'm doing homework, and this has come in handy. Thanks, man
omg i have a test tomorrow and I was sure i was going to fail until I watched this video! thank you so much, i never thought i would be able to understand the concepts until now
The explanation for range was extremely helpful. I was confused on what was right and what was wrong when there are two answers that look like they could work, but the automated teaching system my college used just said "That's right because it is!" and I was like "but why though?" Thanks for the vid.
Same here!! Our teachers are like ordinary text books they don't explain more than that oh really sorry they can't even do that also 😜 but u r legend 😎😎😎
i gotta a question in the example squrare root negative 2 over 2 he gives the angles and is like we already know that the angle of this is so worth. HOW DOES HE KNOW THAT WHERE DOES HE GET THE ANGLE FROM I DONT GET IT PLEASE HELP
Plz refer to the unit circle. Type unit circle on RU-vid then that's when you'll understand otherwise you'll be confuse. Learn the unit circle first. Good luck
I'm a future mech engineer (doing my MS) and was doing horrible in my classes. Mech-E is all math based, so this channel instant changed my grades around for the better. Thank you so much man!
How do you know off the top of your head that pi over 6 and 5pi over 6 are equal to one half? Is there an equation to figure that out, or did you memorize the entire unit circle?
You use the easiest examples and don't go into depth to make your students feel like they understand everything and makes them think you're the best teacher. They're not realizing you're only explaining the very basics of this.
there are several chapters for this topic here in his channel. if he were to teach everything in one video, it'd be too long and too hard to navigate through.
I just saw a video called "a year's worth of calculus in 1 minute" then as I read the comments, many suggests him trying inverse trigonometry and substitution.
Hi I'm from England, could someone please tell me what the difference between arc sine and inverse sine is, likewise for arc cosine and inverse cosine etc. Are they the same thing? I know that the British way of teaching trig is different to American so that may be why I haven't come across arc sine before, only inverse. I'm 15 and we haven't even learned about the unit circle at school! We memorise the exact values from day 1 which makes things like this video easy because I know all the values for 0, 30, 45, 60 and 90 but knowing the unit circle definitely helps.
arcsin and sin-¹ is basically the same, they just differ on how it is written. Some people just do not like to write it as sin-¹ as others may misunderstand it and interpret it like a negative exponent which results in 1/sin (not the same with sin-¹ or arcsin)
You can't really know the sine of most angles off of the top of your head but it's necessary to know the sines of the angles on the unit circle (multiples 30°, 60°, 90°).
Came here to figure one thing out. That one thing is the only thing not explained. When and where was I supposed to learn that sin (pi/6) = 1/2? Typing it into a calculator doesn't give 1/2. The unit circle only deals in radians and degrees, so that doesn't do much to equate radians to fractions either.
Plz refer to the unit circle. Type unit circle on RU-vid then that's when you'll understand otherwise you'll be confuse. Learn the unit circle first. Good luck
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This is incredibly confusing if arcsin and arctan both exist in Q1& Q4 then why is the answer always coming out of Q1. Such at arcsin(-1/2) = -pi/6, the answer isn't 11pi/6. So it's just the negative version in Q1 if the answer asks for something negative. This does not apply to arccos which actually exists in Q1 & Q2. This is how I've come to understand how to solve it.
One thing. You’re combining negative and positive values, so I don’t know, when your saying from -pi/6 to +pi/6, I don’t know if you’re going counter clockwise or clockwise.
It is better to write arcsin, arccos, arctan, and so on. That is the way it is done in all non-English speaking countries. The notations sin^-1 and so on were invented by an Englishman in 1813. These notations can be confused with (sin x)^-1.
honestly, I'm shocked no one has complemented this guy's voice, i mean the voice itself sets up the mood for studying. You've got a nice voice (if it's a voice filter then also, the way of teaching is excellent)
How are you just jumping to sin= 5pi/6 and pi/6 for those things? We are required to solve for those solutions to. How are you getting there? Also if sin is postive why do you not have 5pi/6 in the second quadrant (ik it’s excluded with your range but my teacher makes us go from 0 to 2pi).
Almost NO ONE will ever need to calculate radians in real life. Small exceptions. In real life, working for a living, if you are in a technical field you will ALWAYS need to calculate degrees. None of the radian crap matters. Radians only matter to mathematician’s or someone that has to use a metric scale on a rifle scope. Show how to calculate degrees minutes and seconds. That is the most useful information tools.
In order to get through college though you’ll need this which is why I wish he would have actually solved it by band instead of just getting values from the calculator. I feel like it leaves for a lot more ambiguity in the solving process.
Can someone confirm for me? The reason that the inverse function of sin x exists in 1 and 4 is due to y=x through the quadrant? Reflection the 2nd quadrant for sin x to be quadrant 4 for the inverse
