cos(arcsinx) as an algebraic expression, cosine of inverse sine x

[@DawgFL]

Couldn't find a good explanation of this until I found this video, thanks man.

[@blackpenredpen]

DawgFL thank you

[@datadecks6439]

Teacher tried to explain this in 1 hour, I didn't get it. After seeing this video for not even 4 minutes, I get it :), thank you very much sir

[@blackpenredpen]

gerben bartels you're welcome. thanks for the comment too

[@saadtahir1764]

this guy has the best explanations i've ever seen on the internet thank you!

[@jbintj1883]

Lifesaver!!! Thank you!! That made so much more sense

[@sanya5538]

That was so amazing. I think I'm gonna cry. Thank you so much!

[@nicolasacevedo4893]

You are just great!!! I'm a spanish speaker and I didn't get this with my professor or with other videos, but you make it really clear. Thanks

[@DeadSkinSuit]

"x is not a fraction" I knew this but was still happy with him when he said it. You have a gift

[@nickcooley2857]

GOLD STAR OMG NEEDED THIS REVIEW. YOU HELPED ME WITH THE WHOLE + - Square root THING on BOTH SIDES!!!!

[@blackpenredpen]

Nick Cooley thank you 😊

[@NolorW]

Amazing, thanks a lot :) Your videos are my go-to reference when I study :)

[@Carrbonara586]

Thank you so much! This really helped me to understand the concept in 30 minutes before my final.

[@stephenlupio2192]

Thank you, the best explanation I seen so far.

[@amineess8410]

thank you from Morocco , very clear explanation , you saved me :)

[@vicentegarcia3972]

this guy is the GOAT of algebra

[@lightlyseasoned2850]

U came in clutch, thanks man

[@WNukeAPlanet]

Thank you so much, you saved my grade in trig.

[@andresfelipemonsalve1380]

Lots of love!! cosa hermosa , bien hecha

[@annaxu4445]

YOURE SO HELPFUL

[@martinpaul753]

You’re my hero right now!

[@amaljoseph6940]

Insane explanation thank you sir

[@jl6723]

This video helped me on my summer homework, the clear explanations allow it to also be easily applied to other similar problems.

[@blackpenredpen]

my pleasure to help!

[@KwaguSamuel]

Thank you man. You are superb

[@ChadCynical]

This was helpful for an upcoming final!

[@jessemogeni5101]

Bro this was amazing ty

[@mariodeathcore1]

Are you a teacher yet? You are very clear with instructions. I thank you sir.

[@blackpenredpen]

I have been a teacher for years. :)

[@samuelminea5520]

blackpenredpen And you have quit, I hope not, 'cause you're very good

[@angrywaffle2860]

Where do you teach? I may want to transfer lol.

[@rarriazu]

Thank you very much ! Perfect explanation !

[@yeskendirkuspanov5888]

the best explanation

[@motivate3727]

world greatest explanation

[@samrinashrestha275]

Thankyou ... U r so good at teaching 😊😊

[@fleetfeet2004]

Stewart 3.6 #9 ftw! Thank you man, I'm not confortable manipulating trig functions with right triangles yet.
And probably won't 've untill I take an analysis course.

[@aultraatx]

very helpful and easy to understands thank you!

[@creumakuzola4227]

Thank u so much for your video. It helps a lot.

[@johnpatrickmelgar1285]

This is my lesson now, and I missed the explanation of my prof. Searching for how to get such question, Thank you for explaining it better than what I found before this

[@IsaacSchluesche31]

Thanks man! Appreciate the explanation!!!!

[@tanyabarbie895]

Thank you!!! That helped so much on my pre calc hw!!😂

[@rabiitm6327]

Thank you so much , u really helped me a lot .

[@chaunguyen-nx8wh]

better than my calculus teacher. TY

[@androlitoV]

thanks for teaching better than my Dr. Tudose who was uni for 8 years. Thanks again

[@AnthonyTurcios]

So clear! TY

[@marywaterhouse7687]

Thank you thank you thank you!!!

[@leila7983]

very helpful! thanks!

[@nanothefruit8063]

You are probably the best

[@benrubin798]

This is world class

[@LuisRodriguezPalomo_]

Cool!

[@uzzulht]

Great help thanks!!

[@nicoleriparip]

Very helpful!

[@CortlandMahoney]

So clear, thank you.

[@blackpenredpen]

I am glad that you found this helpful!

[@BeepingSheep]

Much appreciated!

[@deyvidavellar6788]

Thank's, you saved me

[@esti445]

thanks so much!!

[@leonkeyblade]

Your Awsome!!!!!! Keep doing what you are doing

[@blackpenredpen]

jon pen thanks

[@KwaguSamuel]

Thank you man

[@njitsbe]

Thank you sir

[@vantholpich]

YOU ARE AWESOME

[@vedantbachche3004]

I have the same equation but instead of x I have x/2 so should I keep it as (x/2)/1, or keep it as x/2?

[@edborgono]

thank you very much!

[@sofiaguerrero0969]

Thank you! You make math fun. When I understand it, I love it

[@dexterous7324]

If x

[@woohoocares1515]

you are a legend

[@awesome4567891]

Thanks for this video 🙏🙏🙏🤞😩😜

[@flautaprojetc5103]

obrigado mano

[@ASDDlojio]

GOD BLESS YOU

[@Sir_Pumpington_Of_Dumpenshire]

thx bro

[@ihteshamkhan4696]

why is there sin on both sides?

[@pandulathennakoon3826]

What if theta is a great angle?

[@piedude67]

you're the best

[@blackpenredpen]

Thank you!

[@histeeiop7680]

concise

[@andrescantor4132]

thank you so much you deserve a shawarma

[@anomalyp8584]

Holy shit...10/10

[@MertKokarcal]

Thanks

[@MATH-bq5oj]

OK, THANKS

[@noahdaniel6138]

Excellent

[@blackpenredpen]

Noah Daniel thanks

[@beardlessspirit4946]

Would it be the same! if x

[@blackpenredpen]

ajaykumar sandula works the same for 0

[@simonmarabi2661]

i love you

[@XTheMusicMakerX]

the god

[@desertrainfrog1691]

7 year old BlackPenRedPen still here to help. The other 5 inverse trig derivatives will be left as an exercise for the viewer :D

[@epicmorphism2240]

Befor I‘ll see this video; here‘s my way. Since Integral of a derivative of a function is the function itself, we could use this identity. So I took the derivative of cos(arccos(x)) wich is -1/sqrt(1-x^2) * sin(arcsin(x)). It‘s possible to simplify it to -x/sqrt(1-x^2). After this step I took the integral of it, with the sub u = sqrt(1-x^2) and I got sqrt(1-x^2). Calc Power bois!

[@dexterous7324]

Daniel Andrukh wont the derivative be -1/sqrt(1-x^2) * sin(arccos(x))…

[@elementalneil7967]

The same works for sin(arccos x)

[@labzioui1]

Cos(arcsinX)=sqrt(1-(sin(arcsinX))^2)
= sqrt(1-X^2)

[@Kapitein-tp2kf]

Better than chat gpt

[@R.carrillo_2]

like si estas por el ejercicio 27-c de la guia de analisis jajaja,apenas lo entendi pero pude hacer el ejercicio

[@pandulathennakoon3826]

?

[@cashyup]

That makes a LOT of sense now. Thank you so much