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

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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!:
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Опубликовано:

15 авг 2024

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Комментарии : 131

@nevaehbarriere9704 Год назад

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@emily-janeschutte805 2 года назад

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@seanlicht6083 14 дней назад

Just a guy that likes to learn... sometimes obsessively, Thank you and all other instructors that share on RU-vid land.

@christinathomas1651 Год назад

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

@DRMath 4 года назад

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 4 года назад

You’re welcome Harjeet!

@nathanbruce1992 2 года назад

you made it so easy, thank you. I needed the refresher and caught on immediately

@guapchris6913 2 года назад

Thank you! Laying the unit circle and the problems in the same board made me understand it quickly.

@sonalchauhan2955 3 года назад

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@Evan-bj1gt 2 года назад

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@StacyMcCabe 22 дня назад

Just took algebra 2 and I was really curious about this, I’m so excited for precalc next year

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@daviddominguez2279 2 года назад

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@straightup2618 3 года назад

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@roisin._ Год назад

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@MariosMathTutoring Год назад

Happy to help!

@TW19567 4 дня назад

What an amazing explanation! Thank you so much.

@MariosMathTutoring 4 дня назад

You're very welcome!

@paullamy6706 4 года назад

Inverse Trig Functions FINALLY make sense!! Thank you Mr. Mario!! Love you

@MariosMathTutoring 4 года назад

You’re welcome Paul!

@raf1x Год назад

This actually helped and I’m so happy 🥳

@joselincorral505 3 года назад

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@flectoo3030 2 года назад

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@sauceandalouse2624 4 года назад

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 4 года назад

You’re welcome! Glad you found my video!

@FuzzyAason 2 года назад

Thank you Mario. It helped Lina and me :)

@FriedRice3519 Год назад

in 8 minutes, he taught me what my teacher confused me on for 2 weeks.

@meganterry3864 3 года назад

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@shireenbanu2030 Месяц назад

Thank you so much sir it was very helpful

@comradejack5376 2 года назад

Wonderful as always, thank you.

@jdplanet 2 года назад

I swear, I'm learning better here than just reading these stupid modules which is so lack of examples

@olegtanchyn 4 года назад

These videos are amazing for studying. Thank you Mario!

@MariosMathTutoring 4 года назад

You’re welcome Ochinimo! Glad my videos are helping you!

@user-yt5up6gu8z 9 месяцев назад

I really appreciate your vidéos; it helps me understand what my teacher tries to make me understand🙏🏾🙏🏾😁

@MariosMathTutoring 9 месяцев назад

Happy to hear that!

@user-yt5up6gu8z 9 месяцев назад

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@MariosMathTutoring 9 месяцев назад

Happy to help

@zehrasffsds4267 3 года назад

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@crown9919 3 года назад

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@user-sr5fl5ny1n 11 месяцев назад

Thank you so much, very useful i could cry in my calculus 2 class fr :')

@MariosMathTutoring 11 месяцев назад

Glad it helped!

@aurinac898 Год назад

thank you so much this has helped me tremendously🙏🙏🙏

@MariosMathTutoring Год назад

I'm so glad!

@johnedwardgodinez2581 Год назад

Thank you, this video enlightened me as the other videos not telling inverse functions detailed

@MariosMathTutoring Год назад

Great to hear!

@timzhen5935 2 года назад

thank you good sir

@marca6597 4 года назад

How do you not have a million subscribers, the way you teach is amazing.

@MariosMathTutoring 4 года назад

Marc, glad you like my teaching style!

@meinbherpieg4723 4 года назад

How do you find the angle for all numbers instead of what appear to be carefully picked ones for ease of demonstration?

@celsoiii1249 2 года назад

Thank you

@mikkimehak6345 10 месяцев назад

Hi Just wanted to say thank you for this amazing and helpful video. it really helped me thank you again :)

@MariosMathTutoring 10 месяцев назад

You're very welcome!

@MY-lc1xt Год назад

Thanks!! :)

@emanuelneagu14 2 месяца назад

thank you so much

@MariosMathTutoring 2 месяца назад

Welcome 😊

@abdouu5300 Год назад

Thankk youu so much

@evnnoo 5 месяцев назад

thank you

@MariosMathTutoring 5 месяцев назад

You're welcome

@zahraahussein4641 Год назад

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)

@coachgilbertsebgo 3 года назад

IT IS VERRY GOOD SIR

@samak369 3 года назад

perfect

@camillebrochard6538 2 года назад

thank you ❤

@maggiemctague5930 2 года назад

soo helpful:) thank you

@evedivinity7667 3 года назад

Thank you so much

@lil.h00d85 3 года назад

WOW! Thanks Mario this finally makes sense

@michael_toms 9 месяцев назад

I came by here enquiring about the arctan series a finding by Leibniz.

@lazyonigiri5665 4 года назад

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 4 года назад

is it the same thing?

@lazyonigiri5665 4 года назад

Update: nevermind I found the answer to this question in the comments, tysm

@meyhunbhatt7718 8 месяцев назад

ur the goat

@RubiMercuri 4 года назад

Thankyou! I really needed this!

@DRMath 4 года назад

RubiMercuri well explained ✌️

@MariosMathTutoring 4 года назад

You’re welcome!

@user-iy8lo9zw4p 10 месяцев назад

tnx

@MariosMathTutoring 10 месяцев назад

You’re welcome!

@felipesakuma9882 3 года назад

can I resolve without using calculator arcsin(1/4)?

@ohhesnumb4409 Год назад

tankssss

@joselincorral505 3 года назад

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@ariklieu5011 4 года назад

Mario you are a lifesaver!!!

@MariosMathTutoring 4 года назад

Glad my video helped you Arik!

@userme1237 3 года назад

If it’s sin-1 (sq3/2) equals pi/3, could it also be 2pi/3?

@staceyhanby5199 3 года назад

No, because 2pi/3 would make it negative since the x value is negative

@hamidshabbir6150 3 года назад

Explained much much more clearly than my teacher!

@Brithannyt 3 года назад

THANK YOU! I finally understand!!!

@malikabdullah4896 3 года назад

sir Why cant we take period of cos from 0,-π

@amirazouh7378 4 года назад

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 4 года назад

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 4 года назад

@@MariosMathTutoring Aahhhhhh so that's why!! Now it makes sense! Thank you for taking the time too reply and explain it to me !! ☺️

@MariosMathTutoring 4 года назад

You’re welcome!

@amarealene3604 3 года назад

so now... johnny sin is teaching maths

@BattleDroid0402 4 года назад

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 4 года назад

It has to do with the restricted domain...i discuss this at the beginning of the video.

@fernandonunez5099 Год назад

Best videos are in english. TYSM.

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You are a life saver thank u

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@MariosMathTutoring 4 года назад

Welcome to the channel Uchash!

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@todayiglowup4286 4 года назад

why is the first question -pi/3 instead of 5pi/3?

@MariosMathTutoring 4 года назад

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.

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