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

[@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)

[@skinnyladd]

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

[@erickvazquez5664]

You sir, have cleared the fog. Thank you.

[@brianmclogan]

you are very welcome

[@miye-hh]

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

[@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

[@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!

[@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.

[@natl3118]

THANK YOU SO MUCH!!

[@brianmclogan]

absolutely! happy to help

[@Yesofficer3359]

Thank you. It helped me

[@zainshahid1792]

THANKS A LOT
YOU ARE DEFINITELY BETTER THAN MY CALCULUS TEACHER

[@brianmclogan]

I am teaching Calculus as well, new uploads everyday

[@281005AYMANE]

thank you for excellent explanation.

[@brianmclogan]

you are very welcome! Happy to be able to help

[@fatimalearns9618]

Thankyou very much

[@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

[@MG-gc8nn]

Brian McLogic

[@christianmanvilmahinay6974]

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

[@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!

[@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

[@narasimhank.b5432]

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

[@youtubeyes3299]

Why

[@gintokisakata9349]

Aired bozo

[@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!

[@maelourydangatan1900]

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

[@aarushgadge8015]

Thanks you sir

[@brianmclogan]

you are very welcome!

[@beingjhakash5983]

thank you

[@brianmclogan]

you are very welcome!

[@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)

[@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.

[@mohdmargoob6297]

nice sir

[@brianmclogan]

thanks!

[@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

[@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 :')

[@calm8314]

Everything is good but sound might be louder sir

[@engenieringsquad7650]

range of inverse of cos again plz

[@brianmclogan]

0 to pi

[@Simon-qk7po]

13:10 lol

[@geesisawir6136]

uni or highschool?

[@brianmclogan]

high school

[@abdel-salemayeva754]

Thank you