Master How to determine the domain and range of the inverse trigonometric functions

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[@chae5833]

Fantastic!
Doing pre-calculus in college right now and this type of stuff just takes a little time. It's not overly complex, but unfortunately, some professors seem to want to appear smart, as opposed to actually trying to educate. Thanks for breaking it down. Helps reinforce what I've learned so far.

[@franchescaulloa5669]

I am taking precalc online and while most things I understand, these inverse trigs were causing me trouble. this video helped me out a lo because I wasn't understanding how the domain and range fit in. but after seeing it being explained on the graphs, it cleared it right up for me. thank you!!

[@brianmclogan]

you are very welcome! keep up the hard work

[@skinnyladd]

It all makes sense now.
It was the vertical line test all along...
Thank you 🙏 🙏 🙏

[@danielamaro4753]

6 years later, your video has helped many students. Video was well done.

[@helenday5031]

You hear about so-called religious revelations but there are also learning revelations, when something really weird and crazy (that is what I sometimes call hard things) is suddenly made to make sense to you, sometimes within the space of a few minutes. I had one of those revelations thanks to this teaching video, for which I'm very grateful.( I couldn't understand my text book explanation of it)

[@mayanksingh76]

Thanks it helped me a lot....
your video cleared all my doubts about inverse trigonometric functions....
thanks a lotttt 👍👍👍

[@brianmclogan]

you are very welcome!

[@erickvazquez5664]

You sir, have cleared the fog. Thank you.

[@brianmclogan]

you are very welcome

[@isnansunuyuntaro2974]

Wow you explained a complicated concept in a short time and done it way better than(most) teachers in my country could.if only my classmates understands english :(

[@brianmclogan]

will I could add more translations on my videos but happy you were able to follow

[@miye-hh]

Thank you so much. This helps me a lot, i finally understand math a bit better

[@MG-gc8nn]

Brian McLogic

[@christianmanvilmahinay6974]

Is it possible to write the domain and range in table of values?

[@fatimalearns9618]

Thankyou very much

[@natl3118]

THANK YOU SO MUCH!!

[@brianmclogan]

absolutely! happy to help

[@zainshahid1792]

THANKS A LOT
YOU ARE DEFINITELY BETTER THAN MY CALCULUS TEACHER

[@brianmclogan]

I am teaching Calculus as well, new uploads everyday

[@stupidape]

Thanks sir

[@281005AYMANE]

thank you for excellent explanation.

[@brianmclogan]

you are very welcome! Happy to be able to help

[@abdel-salemayeva754]

Thank you

[@user-vh6mf6ph9l]

Mr Mclogan thx for making these videos.... lots of love.. From Dubai
Pls keep up the good work

[@brianmclogan]

Happy to be able to help! keep up the hard work

[@narasimhank.b5432]

I need csc, sec, cot graph also please do it for me and my friends

[@youtubeyes3299]

Why

[@gintokisakata9349]

Aired bozo

[@Yesofficer3359]

Thank you. It helped me

[@pratikchatterjee682]

so sir how to solve questions like:
Find the domain of f(x)=sin^-1(x^2) or f(x)= sin^-1(x)+sin^1(2x)

[@maelourydangatan1900]

Can you please give another explanation of one to one function and inverse function?

[@anantshanker1530]

Thanks a lot, the video helped a lot. Just wanted to know whether there is any formula for finding the domain of inverse functions with domain of normal function given.

[@brianmclogan]

the domain of the inverse function is the range of the original function. A function and it's inverse have the domain and range swapped

[@adrianofernandez4932]

Thank you. U are a great teacher.

[@brianmclogan]

appreciate it, happy to help out

[@someoneOnYoutube001]

Thank you, your video was very helpful.

[@brianmclogan]

awesome! happy to be able to help you out!

[@danieljackson4988]

For the inverse functions why is the notation a ^-1? Cuz technically that can refer to a reciprocal function

[@danieljackson4988]

For trig specifically cuz they are usually written as sin^2, cos^2, tan^2, etc

[@sail2byzantium]

I was too glued to the unit circle for this, which I know has relevance, but was not quite figuring this out. Now I understand! Thanks!

[@brianmclogan]

happy to help!

[@aarushgadge8015]

Thanks you sir

[@brianmclogan]

you are very welcome!

[@calm8314]

Everything is good but sound might be louder sir

[@SuperSplitSoccer]

I DONT UNDERSTAND, HOW DID YOU KNOW HOW TO RESTRICT THE RANGE? LIKE WHY SHOULD WE RESTRICT ARCSINE TO ONLY THE FIRST AND FOURTH QUADRANTS?

[@brianmclogan]

It’s a great question and one hard to explain on a comment but to keep it simplistic, to keep it a function it has to be restricted, and -pi/4 to pi/4 is the easiest

[@SuperSplitSoccer]

@@brianmclogan it is not a big deal anyway, but I always s want to find out MORE when solving something. I am solving sinusoidal models, and trig addition identities and I’m fine now, not angry lol, thanks

[@palihenahansitha366]

I have the same problem. Please explain much better.

[@MG-gc8nn]

6:58
The reason i use green here..
is because you kind of have to STOP.
Thats what causes a car to rear end you.. dont do that kids.

[@javeriaidrees6791]

How do i calculate the range of 2-5cos^2x ?

[@brianmclogan]

the range of the cosine function with no transformations is [-1,1] the only transformation that affects the range is the vertical shift up at amplitude. In this problem the amplitude is 5 and the vertical shift is up 2 therefore the range is [-3,7]

[@javeriaidrees6791]

Thanks, that helped :')

[@mohdmargoob6297]

nice sir

[@brianmclogan]

thanks!

[@engenieringsquad7650]

range of inverse of cos again plz

[@brianmclogan]

0 to pi

[@Simon-qk7po]

13:10 lol

[@geesisawir6136]

uni or highschool?

[@brianmclogan]

high school

[@theexoticbullyplug]

Thanks, Teachers suck now days

[@beingjhakash5983]

thank you

[@brianmclogan]

you are very welcome!