Evaluating Inverse Trigonometric Functions (arcsin, arccos, arctan) Using Unit Circle

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Mario's Math Tutoring

Mario's Math Tutoring

Күн бұрын

This video is about Evaluating Inverse Trigonometric Functions (arcsin, arccos, arctan) Using Unit Circle. We discuss how to find the angle given the trigonometric value using the unit circle. We also discuss the restricted domain for sine inverse, cosine inverse, and tangent inverse and why they are restricted to these quadrants. We also go through 15 examples to give you plenty of practice!
Related Videos to Help You Succeed!:
Using Inverse Trig Functions to Solve for Angles
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Пікірлер: 127
@nevaehbarriere9704
@nevaehbarriere9704 Жыл бұрын
on behalf of all calc students studying for their trig tests the night before…..YOU ARE A LIFESAVER
@BITStudioCode
@BITStudioCode Жыл бұрын
hi, Just wanted to say that your videos are absolutely lifesaving. i was absent for 3 days in my precalculus class and knew 0% what was going on, and this video absolutely saved my grade.
@emily-janeschutte805
@emily-janeschutte805 2 жыл бұрын
doing uni maths for engineering where this is assumed knowledge which i mustve missed long ago. It has been a really challenging couple weeks and ive been so stuck, until this, because i didnt even know what i had to study to meet the prerequisites. you have saved my education, my friend. Please keep up the awesome work!
@nathanbruce1992
@nathanbruce1992 2 жыл бұрын
you made it so easy, thank you. I needed the refresher and caught on immediately
@christinathomas1651
@christinathomas1651 Жыл бұрын
this video saved me. My online trig professor likes to put notes online and audio to explain the notes and it just was too confusing. I needed to actually see it being done. Your explanation was so easy to understand and it helped that you went through problems one by one. By the second problem I was answering before you were done explaining. THANK YOU SO MUCH
@guapchris6913
@guapchris6913 2 жыл бұрын
Thank you! Laying the unit circle and the problems in the same board made me understand it quickly.
@shadelifted
@shadelifted 2 жыл бұрын
Thank you for your concise and well explained videos. I've been out of academics for 9 years or so and I'm going back to college and your videos have been amazing refreshers and reviews to get me caught back up to where I was.
@flectoo3030
@flectoo3030 2 жыл бұрын
Dude this video was so helpful I appreciate it my guy :D
@DRMath
@DRMath 4 жыл бұрын
Thanks Mr. Mario for sharing a detailed lecture on inverse trigonometric functions. Very important to understand these fundamentals to solve problems in Mathematics and Physics! Happy Teaching ✌️
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
You’re welcome Harjeet!
@comradejack5376
@comradejack5376 2 жыл бұрын
Wonderful as always, thank you.
@daviddominguez2279
@daviddominguez2279 Жыл бұрын
Thank your sir! You are an amazing teacher! Thank you for explaining everything in great detail.
@straightup2618
@straightup2618 3 жыл бұрын
Omg so helpful thank you so much
@raf1x
@raf1x Жыл бұрын
This actually helped and I’m so happy 🥳
@Evan-bj1gt
@Evan-bj1gt Жыл бұрын
Thanks so much, this video definitely helped with my summer precalc class (the website didn't even teach anything)
@imagreatguy1250
@imagreatguy1250 2 жыл бұрын
Damn Johnny, i didn't know you were such a good math tutor... Such diverse talents 😉👍
@roisin._
@roisin._ Жыл бұрын
Thank you so much, Mr. Mario! You've been a really great help in my math journey. 😁👍🏼
@MariosMathTutoring
@MariosMathTutoring Жыл бұрын
Happy to help!
@FuzzyAason
@FuzzyAason 2 жыл бұрын
Thank you Mario. It helped Lina and me :)
@sonalchauhan2955
@sonalchauhan2955 3 жыл бұрын
I am from India and all my friends in my school and in my coaching institute are fab of yours and your teaching...🙄🙄🙄
@shireenbanu2030
@shireenbanu2030 9 сағат бұрын
Thank you so much sir it was very helpful
@fernandonunez5099
@fernandonunez5099 Жыл бұрын
Best videos are in english. TYSM.
@MY-lc1xt
@MY-lc1xt Жыл бұрын
Thanks!! :)
@joselincorral505
@joselincorral505 3 жыл бұрын
THIS VIDEO SHOULD HAVE 1 MILLION VIEWS. THANKS MR. MARIO YOU REALLY HELPED ME!!
@maggiemctague5930
@maggiemctague5930 2 жыл бұрын
soo helpful:) thank you
@abdouu5300
@abdouu5300 Жыл бұрын
Thankk youu so much
@paullamy6706
@paullamy6706 3 жыл бұрын
Inverse Trig Functions FINALLY make sense!! Thank you Mr. Mario!! Love you
@MariosMathTutoring
@MariosMathTutoring 3 жыл бұрын
You’re welcome Paul!
@FriedRice3519
@FriedRice3519 Жыл бұрын
in 8 minutes, he taught me what my teacher confused me on for 2 weeks.
@evedivinity7667
@evedivinity7667 3 жыл бұрын
Thank you so much
@celsoiii1249
@celsoiii1249 2 жыл бұрын
Thank you
@user-yt5up6gu8z
@user-yt5up6gu8z 8 ай бұрын
Thank youuu. You’re the Goat 🐐 ✌🏾
@MariosMathTutoring
@MariosMathTutoring 8 ай бұрын
Happy to help
@aurinac898
@aurinac898 Жыл бұрын
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@MariosMathTutoring
@MariosMathTutoring Жыл бұрын
I'm so glad!
@johnedwardgodinez2581
@johnedwardgodinez2581 Жыл бұрын
Thank you, this video enlightened me as the other videos not telling inverse functions detailed
@MariosMathTutoring
@MariosMathTutoring Жыл бұрын
Great to hear!
@camillebrochard6538
@camillebrochard6538 2 жыл бұрын
thank you ❤
@crustpie2643
@crustpie2643 3 жыл бұрын
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@mrfilmmaker3237
@mrfilmmaker3237 3 жыл бұрын
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@aswin_sudarsan
@aswin_sudarsan 3 жыл бұрын
You need to be grounded
@terryadams2652
@terryadams2652 2 жыл бұрын
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@user-xp9xf9vn6c
@user-xp9xf9vn6c 2 жыл бұрын
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@angelvaldivia5642
@angelvaldivia5642 2 жыл бұрын
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@olegtanchyn
@olegtanchyn 4 жыл бұрын
These videos are amazing for studying. Thank you Mario!
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
You’re welcome Ochinimo! Glad my videos are helping you!
@user-yt5up6gu8z
@user-yt5up6gu8z 8 ай бұрын
I really appreciate your vidéos; it helps me understand what my teacher tries to make me understand🙏🏾🙏🏾😁
@MariosMathTutoring
@MariosMathTutoring 8 ай бұрын
Happy to hear that!
@timzhen5935
@timzhen5935 2 жыл бұрын
thank you good sir
@jdplanet
@jdplanet 2 жыл бұрын
I swear, I'm learning better here than just reading these stupid modules which is so lack of examples
@meganterry3864
@meganterry3864 3 жыл бұрын
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@user-sr5fl5ny1n
@user-sr5fl5ny1n 9 ай бұрын
Thank you so much, very useful i could cry in my calculus 2 class fr :')
@MariosMathTutoring
@MariosMathTutoring 9 ай бұрын
Glad it helped!
@mikkimehak6345
@mikkimehak6345 8 ай бұрын
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@MariosMathTutoring
@MariosMathTutoring 8 ай бұрын
You're very welcome!
@samak369
@samak369 3 жыл бұрын
perfect
@sauceandalouse2624
@sauceandalouse2624 3 жыл бұрын
I'm from the french speaking part of Belgium, cannot find clear videos about this subject in French on youtube. Really glad that I discovered your channel ! You have a great sense of pedagogic approach. Thank you very much
@MariosMathTutoring
@MariosMathTutoring 3 жыл бұрын
You’re welcome! Glad you found my video!
@coachgilbertsebgo
@coachgilbertsebgo 3 жыл бұрын
IT IS VERRY GOOD SIR
@lil.h00d85
@lil.h00d85 3 жыл бұрын
WOW! Thanks Mario this finally makes sense
@zahraahussein4641
@zahraahussein4641 Жыл бұрын
For arcsin and arctan when I Looking for the angle should I get it from pi/2 and -pi/2 or is only the positive pi/2 is included? I mean when the question wants the value from (0,1) and (0,-1)
@emanuelneagu14
@emanuelneagu14 Ай бұрын
thank you so much
@MariosMathTutoring
@MariosMathTutoring Ай бұрын
Welcome 😊
@meyhunbhatt7718
@meyhunbhatt7718 7 ай бұрын
ur the goat
@ohhesnumb4409
@ohhesnumb4409 Жыл бұрын
tankssss
@Brithannyt
@Brithannyt 3 жыл бұрын
THANK YOU! I finally understand!!!
@evnnoo
@evnnoo 4 ай бұрын
thank you
@MariosMathTutoring
@MariosMathTutoring 4 ай бұрын
You're welcome
@joselincorral505
@joselincorral505 3 жыл бұрын
Super video! I applauded for MX$50.00 👏👏
@felipesakuma9882
@felipesakuma9882 3 жыл бұрын
can I resolve without using calculator arcsin(1/4)?
@marca6597
@marca6597 4 жыл бұрын
How do you not have a million subscribers, the way you teach is amazing.
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
Marc, glad you like my teaching style!
@RubiMercuri
@RubiMercuri 4 жыл бұрын
Thankyou! I really needed this!
@DRMath
@DRMath 4 жыл бұрын
RubiMercuri well explained ✌️
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
You’re welcome!
@zehrasffsds4267
@zehrasffsds4267 3 жыл бұрын
keşke benim Anadolu lisemde ki hocalar da böyle mantığıyla anlatsa neyse ki böyle bir kanal var👍
@crown9919
@crown9919 3 жыл бұрын
keşke
@meinbherpieg4723
@meinbherpieg4723 4 жыл бұрын
How do you find the angle for all numbers instead of what appear to be carefully picked ones for ease of demonstration?
@user-iy8lo9zw4p
@user-iy8lo9zw4p 9 ай бұрын
tnx
@MariosMathTutoring
@MariosMathTutoring 9 ай бұрын
You’re welcome!
@ariklieu5011
@ariklieu5011 4 жыл бұрын
Mario you are a lifesaver!!!
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
Glad my video helped you Arik!
@hamidshabbir6150
@hamidshabbir6150 3 жыл бұрын
Explained much much more clearly than my teacher!
@chloewang3906
@chloewang3906 3 жыл бұрын
Thank you so much!!
@malikabdullah4896
@malikabdullah4896 3 жыл бұрын
sir Why cant we take period of cos from 0,-π
@muhammadtahir942
@muhammadtahir942 3 жыл бұрын
You are a life saver thank u
@userme1237
@userme1237 3 жыл бұрын
If it’s sin-1 (sq3/2) equals pi/3, could it also be 2pi/3?
@staceyhanby5199
@staceyhanby5199 3 жыл бұрын
No, because 2pi/3 would make it negative since the x value is negative
@lazyonigiri5665
@lazyonigiri5665 4 жыл бұрын
Hello, I have a question here regarding your Unit Circle and I am sorry just incase this was already addressed in the video I might not have been exactly paying attention but,,, My question is: why are your values in the fourth quadrant of the unit circle different than the normal ones I have seen? Like for pi/6,, the one I know is 11pi/6
@lazyonigiri5665
@lazyonigiri5665 4 жыл бұрын
is it the same thing?
@lazyonigiri5665
@lazyonigiri5665 4 жыл бұрын
Update: nevermind I found the answer to this question in the comments, tysm
@ebok5705
@ebok5705 3 жыл бұрын
Thank you amazon for this
@michael_toms
@michael_toms 8 ай бұрын
I came by here enquiring about the arctan series a finding by Leibniz.
@BattleDroid0402
@BattleDroid0402 4 жыл бұрын
Why is it, in Quadrant IV, that the variables of pi are not (11pi/6), (7pi/4), (5pi/3), and (3pi/2)? On all of the Unit Circles that we have constructed for my class, those values are the variables listed in Quadrant IV...perhaps a detail my teacher missed - are they supposed to be negative and without numerator variables (excluding pi) instead?
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
It has to do with the restricted domain...i discuss this at the beginning of the video.
@uchashkhan7669
@uchashkhan7669 4 жыл бұрын
what an explanation ❤...love this channel.. ✌..i subscribes...
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
Welcome to the channel Uchash!
@uchashkhan7669
@uchashkhan7669 4 жыл бұрын
@@MariosMathTutoring tnx a lot..teacher...✌
@mtwhiting
@mtwhiting 4 жыл бұрын
Are the private videos in the algrabra 2 needed for my learning experience. And do you think it's possible to teach my self it in 2 1/2 to 3 months for a placement exam?
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
Some of the videos I have not released yet. If you are looking for a step by step with lots of examples and more in depth teaching I recommend my Algebra 2 video course I have for sale.
@amarealene3604
@amarealene3604 3 жыл бұрын
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@duniyakapapa007
@duniyakapapa007 3 жыл бұрын
Great teacher Jhonny sins
@amirazouh7378
@amirazouh7378 4 жыл бұрын
Thank you so much for this video!! You truly are a life saver! I have one question that I am struggling with... I don't understand why arctan(tan π) and arcsin(sin 3π ) = 0 and not π. Greetings all the way from Holland!!❤️
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
Greetings Amira! It’s because the arcsin and the arctan have a restricted domain from -pi/2 to pi/2 meaning the answer needs to be in that interval....otherwise if we didn’t restrict the domain there would be an infinite number of answers. Hope that helps!
@amirazouh7378
@amirazouh7378 4 жыл бұрын
@@MariosMathTutoring Aahhhhhh so that's why!! Now it makes sense! Thank you for taking the time too reply and explain it to me !! ☺️
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
You’re welcome!
@todayiglowup4286
@todayiglowup4286 4 жыл бұрын
why is the first question -pi/3 instead of 5pi/3?
@MariosMathTutoring
@MariosMathTutoring 4 жыл бұрын
Pearlie, It has to do with the restricted domain. You may want to watch the video again where I discuss the restricted domain for sine cosine and tangent.
@civan06
@civan06 2 жыл бұрын
Hello guys. I am turkish student. Our exam is very Hard. Go studyyy
@xpllsp
@xpllsp 10 ай бұрын
The video was good but i was looking for an explanation on sec^-1 which was not shown..
@xaviertorres6301
@xaviertorres6301 8 ай бұрын
Who else is here for land surveying reasons?
@niina.5190
@niina.5190 3 жыл бұрын
i am taking calculus right now, i dont remember these from 9th grade wth T-T
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@sabboonaabadhaasaa4321 4 жыл бұрын
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@NoName-tb6mo
@NoName-tb6mo 3 жыл бұрын
Нихрена непонятно
@ambientscience2951
@ambientscience2951 3 жыл бұрын
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@meganterry3864
@meganterry3864 3 жыл бұрын
That's less than half of what you'd pay for a college course if that puts it into perspective. And having a math teacher that actually gets you to understand the subject matter is rare!
@ambientscience2951
@ambientscience2951 3 жыл бұрын
@@meganterry3864 true that is why i paid for it
@meganterry3864
@meganterry3864 3 жыл бұрын
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@ambientscience2951 3 жыл бұрын
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@meganterry3864
@meganterry3864 3 жыл бұрын
@@ambientscience2951 thank you so much! I'll definitely consider it! I have a subscription to Great Courses Plus that I use (tons of awesome courses). Between Great Courses and Mario's Math videos I have a c in trig and precalc instead of an F, hahaha
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