Graphing Sine, Cosine, Cosecant, Secant, Tangent & Cotangent (Complete Guide)

Рет қаралды 193,130

Күн бұрын

Learn how to graph Sine, Cosine, Cosecant, Secant, Tangent & Cotangent in this complete guide by Mario's Math Tutoring. We go through how to get the graphs using key points on the unit circle. We also discuss how to find the amplitude, period, phase shift (horizontal shift), vertical shift, asymptotes and more. We go through how to graph and remember the parent functions as well as how to do the transformations on more complicated functions. In all we go through 20 different examples to help you master graphing trigonometric functions.
Jump to Section of the Video:
00:00 Intro
0:33 Example 1 Graph y=sin(x)
1:52 Example 2 Graph y=2sin(x)
2:17 Example 3 Graph y=sin(2x)
3:52 Example 4 Graph y=sin(x+pi)-2
5:56 Example 5 Graph y=cos(x)
6:53 Example 6 Graph y=-cos(x)
7:30 Example 7 Graph y=cos((1/2)x)
8:44 Example 8 Graph y=cos(x-pi/2) +1
10:13 Example 9 Graph y=3sin(1/2)(x-pi)-2
12:10 Example 10 Graph y=2cos(4x+pi)+1
14:07 Example 11 Graph y=2sec(x)
17:23 Example 12 Graph y=3csc(pi/4)(x)
18:31 Example 13 Graph y=4sec(1/4)(x+2pi)-1
20:26 Example 14 Graph y=tan(x)
22:03 Example 15 Graph y= 2tan(x)
22:38 Example 16 Graph y=tan(1/2)(x)
24:01 Example 17 Graph y=tan2(x-pi/8)+1
25:51 Example 18 Graph y=cot(x)
27:19 Example 19 Graph y=3cot((pi/2)(x))
28:40 Example 20 Graph y=-cot(1/4)(x-pi)-1
Related Videos to Help You Succeed!:
Graphing Tangent and Cotangent
• Graphing Tan and Cot
Graphing Sine and Cosine
• Graphing Sin and Cos
Graphing Secant and Cosecant
• How to Graph Secant an...
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Пікірлер: 173

@oscarmunozhernandez5970 4 жыл бұрын

I missed a day of school and I have been lost for 2 weeks. This video helped me catch up! Thanks!

@MariosMathTutoring 4 жыл бұрын

Glad my complete guide to graphing trig functions helped you get caught up Oscar!

@meadeevans278 7 ай бұрын

I know I’m 4 years late… but precalc is hard- and there’s a test tomorrow…

@_Noxad_ Ай бұрын

@@meadeevans278I’m learning this in IM3

@felforgedaxe9793 Жыл бұрын

Plotting those points the way you did to set up the graph was brilliant.

@qv33nxash 3 жыл бұрын

thank you for saving my GPA holy shit. Never stop teaching please.

@azulcorrea-dibar2662 2 жыл бұрын

The king of math saves the day once again!

@koino1 5 ай бұрын

You explain everything so clearly and show the meaning as to why something is what it is, which is something a lot of teachers don't do. Thank you so much!!!!

@guelan2130 3 жыл бұрын

That time stamp is a life saver

@cowgirlhousesoap4583 9 ай бұрын

I was struggling to grasp this concept but you made it make so much more sense. Thank you!

@MariosMathTutoring 9 ай бұрын

Glad it was helpful!

@gaming4all568 3 жыл бұрын

Fantastic video. I was struggling a lot with this topic and other channel's videos were helpless to me, but this man seriously knows how to teach! I watched his "graphing sin and cos" video as an introduction, then watched this video to finish the unit. I went from not understanding anything about this topic to, while obviously taking notes, fully understanding everything. Thank you so much, Mario, you really saved me from falling far behind in my class.

@dillpickle7358 4 жыл бұрын

You are an amazing person. Thank you for saving my grade!

@MariosMathTutoring 4 жыл бұрын

Glad my video helped you!

@BESTFORYOU321 2 жыл бұрын

I can’t find the right words to describe you…..you are amazing.

@asmaameen7861 3 жыл бұрын

Your Video should be used in every single Precalculus class in the world. Great video, lots of thanks!

@best_savage Жыл бұрын

Saved me when learning Pre-Cal thanks so much!!!

@reebie40 2 жыл бұрын

Omg I seriously cannot thank you enough Mario--I finally understand now!!! So exciting.

@bubbagumpshrimpco.4854 Жыл бұрын

Mario is a math genius

@nomsaphiri9620 3 жыл бұрын

Your a life saver i struggled with graphing now i have no challenges

@bassant2127 Жыл бұрын

I'M SPEECHLESS THANK YOU MASTER

@taggartjenkins7590 4 жыл бұрын

by far the most helpful explination of math in a short amount of time, my trig professor beats around the bush for an hour and a half, pulling numbers and equations out of no where. thank you so much sir.

@MariosMathTutoring 4 жыл бұрын

You’re welcome Taggart!

@ninadee9753 Жыл бұрын

Amen on that "beating around the bush" thing. I see this was 2 years ago. Hope maths are treating you well now!!

@Kristielina Жыл бұрын

This KZfaqrs math intuition is on point! Thank you for this amazing strategy!

@Ben_in_4k 2 жыл бұрын

reading from a book is so abstract but you really made sense of it all thanks Mario!!!!!!!

@Kiwiiizzz Жыл бұрын

This is one of the beat guides on this. I have a test I an hour and now I'm sure to pass and get a good grade on it

@kvassboy8230 2 жыл бұрын

Thank you so much for this tutorial. I have my math midterm tomorrow and I have a professor who likes to rush everything. My entire class is confused on every math topic this professor has taught and I have to go to channels like yours to understand the topic.

@looseleafpaper4136 2 жыл бұрын

literally everything is rushed in my class but I think some people actually do get it I just have ADHD inattentive

@user-sz7yq5if6m 5 ай бұрын

I was having so much trouble with the secant, cosecant, and cotangent, but this helped soooooo much. Thank you!

@MariosMathTutoring 5 ай бұрын

Glad it helped!

@halladaas9915 2 жыл бұрын

best.graphing.tutorial. thank you

@jms6935 2 ай бұрын

My son had difficulty with geometry last year and can't help so much. I tried to help again this year and luckily found your videos which helped us since. He will be having ap precalculus and algebra 1 for my youngest son next year. I checked and you already have videos available . I just wanted to say thank very much Sir!

@MariosMathTutoring 2 ай бұрын

You're welcome!

@andycui6761 2 жыл бұрын

I missed a lot of class and my unit test is today, this helped a lot.

@GIO-hs5rs Жыл бұрын

I asked friends and teachers, and none of them gave an explanation as clear as yours. I'm very thankful, keep up the good work!

@GoahVX 2 жыл бұрын

thanks for your video its really help full keep up with your work

@justprocrastinating6139 2 жыл бұрын

Thank you so much for this! With our school still following the online class format, Trig my professor has been extremely lazy and doesn't even bother explaining our lessons. All he does is go over a few examples and just rushes thru them without explaining what's happening per step he's making.

@ah-kq9jy 9 ай бұрын

Thank you so much!! Precalc was really hard this year and this was the best video I saw.

@MariosMathTutoring 9 ай бұрын

Glad it helped!

@sean2620 Жыл бұрын

You math videos are really helpful. Thank you very much.

@MariosMathTutoring Жыл бұрын

Glad you like them!

@funkymonkey9011 2 жыл бұрын

Man you have to hand it to Mario, this man is a genius. His teaching skills are immaculate and I can understand everything that he says and does just from the way he articulates himself. Every time I watch one of these videos I always come out of them actually learning something. I highly recommend this guy and keep teaching maths Mario!

@shivansh5924 3 жыл бұрын

Very helpful vedio keep it continues for us thank you so much. God bless you!. I am from. INDIA🇮🇳

@user-lo8ql5ww1s Жыл бұрын

If I get Full score in the finals it is because of this video :D Thank you for the amazing video!

@MariosMathTutoring Жыл бұрын

Good luck! Let us all know how you did.

@ddahstan6876 2 жыл бұрын

Crystal clear. So well organized and concise with progression! Used it as a review which's awesome. Thank you!!!

@jakerader7070 3 жыл бұрын

OMG thank you!!! I’ve been learning how to do this for weeks in my class at school and never got it and you made me understand it in a 30 minute video 40 minutes before my final exam. Thank you this saved me. Keep up the amazing work and maybe give some advice to teachers around the world

@jerrysmith9780 3 жыл бұрын

Thank you Mario. You packaged everything up in a very comprehensive way.

@romellalooc6850 3 жыл бұрын

OMO thank you so much, sir! Now I understand. Your vids was always a big help! I've been watching you all this time and it was fun! Thanks a lot!

@color_pens5542 3 ай бұрын

THANK YOU SO MUCH MARIO!!! I missed a lot of days in school and couldn't grasp the concepts at all, but after watching your videos, I really understand everything better!

@MariosMathTutoring 3 ай бұрын

Glad I could help!

@colesullivan9659 Жыл бұрын

Cannot express my gratitude for this video, really helped me on a topic with which I struggled this year and last year, thank you Mr Mario

@MariosMathTutoring Жыл бұрын

Glad it helped!

@davidridges5554 2 жыл бұрын

Studying for my math final right now and you are saving me. Great video, thanks

@glendakiamco219 3 жыл бұрын

Thank you so much for your very student-friendly videos. May you continue to make more Math lesson-videos. God bless.

@tausifrahman7189 2 жыл бұрын

Thanks. You are a fantastic teacher.

@stephaniesierra1333 2 жыл бұрын

Thank you so much for graphing trig functions so clearly! My teacher doesn't really thoroughly explain every problem, so sometimes, it's hard for me to understand her, but you explained it in a way that I could understand. This will help me a lot and especially since I have a quiz tomorrow 😅. Seriously though, keep up the good work!

@navidqazizada2193 3 жыл бұрын

Thank you so much for this Mr. Mario

@HansDonsolle 4 жыл бұрын

Very helpful video, keep up the good educational videos! ❤

@MariosMathTutoring 4 жыл бұрын

Thanks! Glad you liked the video NuKlear Paraddox!

@DetectiveConan990v3 2 жыл бұрын

this was incredibly helpful, I was looking for a video that had all six functions' graphs together😁😁😁

@alexanderbobrovitskiy956 3 жыл бұрын

Excellent! Thank you, Mario!

@MariosMathTutoring 3 жыл бұрын

You’re welcome Alexander!

@shuochen3214 2 жыл бұрын

Thank you so much !!! I am going to have a test on this tomorrow and originally I am really frustrated with this. However, I am confident again after watching your video! Thank you so much !!!

@elianr7185 3 жыл бұрын

Thank you so much. Very helpful

@amorawilliams4015 Жыл бұрын

OMG THANK YOUUU SO MUCH I LEARNED ALOT!

@5w0rl12 4 жыл бұрын

Just in at 1:50, you've already made sense of so much. For some reason my college professor SOARS through the lecture and I catch about 65% of what she says. Also, she didn't explain what she meant by "basic sin graph" she just started drawing real fast and said, "as you know you should refer back to this," and I'm like "wha?" Just know you're filling in the gaps for many misunderstandings. Thanks!

@MariosMathTutoring 4 жыл бұрын

Glad to hear my videos are helping you Samantha!

@jaredolson7543 4 ай бұрын

Great vid!! Thank you!

@jms6935 3 ай бұрын

I again want to express my appreciation, you are such a blessing. Thank you sooo much Sir!

@MariosMathTutoring 3 ай бұрын

So nice of you!

@abdoulhadyassimmohammed1308 3 жыл бұрын

I believe THANK YOU won't ever be enough, sir! But may ALLAH reward you 💚 Amen

@ghassanhalabi300 3 жыл бұрын

what a legend. thank u mr mario

@acnhdomlover7214 8 ай бұрын

Great Video Mario! This helped me a lot!

@MariosMathTutoring 8 ай бұрын

Glad it helped!

@jayden7194 5 ай бұрын

thank you so much. Your videos are always very helpful!

@MariosMathTutoring 5 ай бұрын

Glad you like them!

@litun770 Жыл бұрын

Thanks Mario!

@marmar-ch5kh 3 жыл бұрын

Thanks to you I’m pretty sure I’m going to get a good grade!! Thank you!

@Majesty1337 3 ай бұрын

wow, this video helped me so much, I really appreciate the in depth guide!

@MariosMathTutoring 3 ай бұрын

Glad it helped!

@greeshmachowdary1045 3 жыл бұрын

Thanks a lot this helped me a lot and I learned soo much from this my teacher uses to lag this topic nearly 2 to 3 classes thank you

@jovannyalaniz2983 2 жыл бұрын

Thank you!

@David-sj4fk 4 жыл бұрын

Really good video! It's awesome that you're succinct in teaching the theory, and use several different examples to show how to apply it. I've seen so many online tutors use only 1 example to introduce a new concept, which is so annoying because as soon as you don't recognize something, or don't understand something basic, you're basically lost forever. Thumbs up and a subscription from me! Good job :)

@MariosMathTutoring 4 жыл бұрын

Welcome to the channel David! Glad you like my teaching style!

@BEN10INHINDInischay 3 жыл бұрын

you guyz are great i dont know why you have only 105 k subscriber

@aashrithavula2586 8 ай бұрын

Great video, really helped me understand this topic. Thanks!!

@MariosMathTutoring 8 ай бұрын

Glad it was helpful!

@locky7405 3 жыл бұрын

This man is a god.

@richardgordon 4 жыл бұрын

Amazing videos! Very clear and interesting!

@MariosMathTutoring 4 жыл бұрын

Glad you like my videos Richard!

@maverickgirouard3968 Жыл бұрын

Best video out there , thank you!!!

@MariosMathTutoring Жыл бұрын

Glad it was helpful!

@MohammadKhan-wu4wj 3 жыл бұрын

THANK YOU SO MUCH!!!!!YOU SAVED ME FROM FAILING

@frankH117 2 жыл бұрын

Thank you so Much!!!!!!!!!!!!!!!!!!!

@minhnguyen-zt5si Жыл бұрын

Fantastic mario

@tirthpatel4395 3 жыл бұрын

you just saved me inn my math test bro thanks !

@dannyjohndyer 2 жыл бұрын

excellent!

@robbiedosa4243 4 жыл бұрын

Very helpful! Thank you !!

@MariosMathTutoring 4 жыл бұрын

Glad my video helped you Robbie!

@mensamoo 2 жыл бұрын

Great lesson. When showing stretches or 'squashes' I would keep the x axis labels as they were to show the difference in the curve.

@richdaballer6583 Жыл бұрын

This was really helpful, Thanks a lot

@MariosMathTutoring Жыл бұрын

Glad it was helpful!

@chosenangel6631 3 жыл бұрын

Wow this is the man! Made my trig class easy! Thank you. Subscribed be back soon!

@franklynforeal Жыл бұрын

Very helpful

@kiranchithirala5774 2 ай бұрын

Thank u very much sir. Basically i am a tutor from India. I am enjoying u r videos. U r making every concept easy.

@MariosMathTutoring 2 ай бұрын

Awesome! Glad to hear you are tutoring as well! Welcome!

@batoulalmolki3569 Жыл бұрын

Thank you bro

@premiumleader8948 Жыл бұрын

THANK YOU SO MUCH MARIO YOUR SO FRICKING HELPFUL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

@rosameliacarioni1022 3 жыл бұрын

Thank you

@lillic4046 3 жыл бұрын

you just saved my life

@filipkazacu9260 Жыл бұрын

Thank you

@allyklassen2996 Ай бұрын

YOU SAVED ME

@bonganimafemani3156 Жыл бұрын

Thank you so much sir.

@MariosMathTutoring Жыл бұрын

Most welcome

@olmusic7856 Жыл бұрын

wow really amazing video well done, thanks alot

@MariosMathTutoring Жыл бұрын

Glad you liked it!

@cruyffsmaintenance4113 3 жыл бұрын

You’re such a phenomenal teacher Jesus christ

@yashkandra1456 Жыл бұрын

tysm!!

@isaaclloyd9841 3 ай бұрын

Thank you mario

@MariosMathTutoring 3 ай бұрын

You’re welcome!

@NhuNhu90 2 жыл бұрын

thank you

@user-sarrah 3 жыл бұрын

thanks helped with my hw

@davidgreenwald8459 2 жыл бұрын

Thanks!

@MariosMathTutoring 10 ай бұрын

Thank you so much!

@andrew1171 3 жыл бұрын

you have saved me

@niscal17 2 жыл бұрын

He scammed u bro

@sanadkhatib4355 Жыл бұрын

good man.

@adairmorgan3386 9 ай бұрын

This was very good just a little fast, but information was great thanks

@MariosMathTutoring 9 ай бұрын

Glad it was helpful!

@jorgesamanez4011 4 жыл бұрын

exellent!

@MariosMathTutoring 4 жыл бұрын

Glad you liked the video Jorge!

@liliiaalieksanova9098 4 жыл бұрын

Thank you for your great job! and hello from Ukraine

@MariosMathTutoring 4 жыл бұрын

Glad you liked the video Liliia!

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Like all bald characters, this one is overpowered.

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@ahmedasif416 2 ай бұрын

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