Graphing the Sine (sin) Function [fbt]
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- Опубліковано 29 лип 2024
- This video by Fort Bend Tutoring shows the process of graphing the sine (sin) function. The concepts in this video are used in trigonometry, precalculus and calculus courses. Instruction by Larry "Mr. Whitt" Whittington. Intro/Outro by Chuck Knipp's Shirley Q. Liquor.
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![Graphing the Cosine (cos) Function [fbt]](http://i.ytimg.com/vi/5-Xt_HEQ1nw/mqdefault.jpg)
![Graphing the Cosine (cos) Function [fbt]](/img/tr.png)
![Graphing the Cosecant (csc) Function [fbt]](http://i.ytimg.com/vi/A9hnXkFNePA/mqdefault.jpg)
I just about cried right now. I have spent days, literally days trying to figure out how to set up the increments. My professor could not explain it and did it all on her head when she taught this to the class. I was so lost and just felt so stressed out. This video just made me so happy. For the first time, out of the dozens of videos I have clicked on, this was the first video to explain how to set up the increments, step by step. THANK YOU. seriously THANK YOU.
I’m so happy 2 hear the video helped! The increments use 2 drive me crazy as well so I knew students were getting confused on it! Thanks 4 letting me know I’m making a difference! It means a lot 2 me!
I literally spent 5 hours trying to find a video on how to graph sine and cosine. I was confused by almost all of them, but this one made me fully understand the concept.
Thank you sir.
*Tips hat*
You're welcome! Thanks 4 watching!
Mr. Whitt is awesome. I've used his video for several of my classes! I always recommend these videos to my classmates
Your video was extremely helpful, thank you so much. I was about to have a meltdown if I watched one more video where the teacher skipped steps or did not fully explain what they were doing. You rock.
Your video series makes up one of the most comprehensive online math tutorials I have ever seen. Well explained and wonderfully articulated. Kudos!!
Thanks 4 your feedback John! I really appreciate it! 👨🏾🏫😁
These are the best, most helpful math videos on this website. I love how in-depth you go. You don't sound boring like other people do.
+Psycho Bob lol Thanks Bob! I really appreciate the feedback!
You are the best teacher. Every time I have turned to your videos, I have learned a lot. You deserve a medal.
Thanks 4 your kind words and support Esmat! 👨🏾🏫😀
Bro here he goes again, my 70 in trig is now an 82. Best tutor ever
last time I saw you was 5 years ago in spring branch HCC and I still to this day use your videos. They're great and you explain everything so well, thank you!
Hope you’re doing well Beth!
Your teaching is the most perfect way. I understand it easily and apply it in my maths problems with great satisfaction .
Thanks 4 the feedback Ayalew! I really appreciate it! 👨🏾🏫😁
Your video on graphing the sine function is great and easy to follow. I think you are a great tutor! You make complex concepts easy. I am elated that I've found you on youtube. Peace!
+star Thanks so much 4 your feedback and support! I'm glad you found our channel as well!
love these videos, ive been completing a trig assignment and just as it got boring you hyped me up.. thanks a lot
+IAmTheBaneFish Awesome! I'm happy 2 help! Thanks 4 watching!
Omg THANK U SO MUCH A GOD SENT. very well explained!!!
thank you sooo much!! this is the best help I've gotten so far!
+Señor Bacon That's awesome Señor Bacon! We're happy 2 help!
you are the best. thank you very much.
+mekael gelaw You're very welcome Mekael! Thanks 4 watching!
Awesome, the easiest video to understand on this topic.
Happy 2 help Mezemir! Thanks 4 the feedback!
Thanks a lot sir. I am learning Maths in a new way by watching your videos.
You’re welcome Suresh! Thanks 4 watching!
I was confused with the phase shift and other transformations but this video just made it so easy! thanks so much 😀
+saisha gautam Happy 2 help Saisha! Thanks 4 watching!
Thank you, Mr. Whitt
My pleasure Suarez! Thanks 4 watching!😁
Wonderful, Thanks
+Mohammad Ghunaim Our pleasure Mohammad! Thanks 4 watching!
thank you Mr. Whitt
+cjameelah7 Always happy 2 help Jameelah! 😁
I was the 999th and 1000th viewer, I am now doing my 3rd viewing @ 1001! Truly awesome video, you're a phenomenal teacher!!! Thanks a lot!!!
Amazing Joseph! Thanks 4 the feedback!
geez you explain things better then my teacher does. I swear if you were my teacher in all classes id be getting better grades! >_
+mollerbt Thanks 4 the kind words! I hope I can still help even though I’m not your teacher. Good luck 2 you! 😁
You're my savior!!!
Happy 2 help!
i hope to watch all your videos in a day :D
Thanks! We hope they help!
thank you
You're very welcome Spha!
Do you have any recommendations on behalf of which of your amazing videos I should be focusing on to be able to learn what I need to get my G.E.D
Yes, follow the Mathematics and Algebra playlist in that order.
Hi Mr.Whitt thank you so much for the videos. Just a question, I work in degrees so y=sin 3(x + 10*) with working out the phase shift I get c/b = -10/3 = -3.333? not sure if I am doing something wrong here as I get very strange Y values?
A = 1
Period =360*/3 = 120*
Phase shift = -10/3 = -3.333
Increments = 120*/4 = 30*
Since 3 is already factored in this case, your phase shift would be -10. Make sure you have the equation in the same format when using the formulas in this video.
@@FortBendTutoring alright thank you for your help :)
Mr. Whitt, you are my number 1 tutor. What a great mathematician and gentleman you are. I am using an old TI-30 scientific calculator and get weird results when trying to get the sine of the X-value (thus giving the Y-value on the x/y table. I have the DRG function set for radians, as you told one of your students but the values I are completely WAY OFF. What is your advice, please sir? Thanks a great deal!!!
Thanks 4 watching! If you truly have your calculator set for radians, then you may try using the "pi" button instead of any estimations. Also, make sure you include any fractions in parentheses. Other than that, you shouldn't be having any issues. If that doesn't fix it, use a different calculator.
Mr. Whitt, I bought a new TI30 2X (only $16.00) and it works great on your Sine, Cosine classes!!!! Thank you for your great instruction. YOU are the best!!!!
Glad it works 4 you now and thanks 4 the support!
Is it only for expediency, or is there a formal agreement or rule that says sine at pi and 2pi is zero regardless of a greater consideration of precision showing sine > 0 at those positions?
Sine is the result of a ratio given an angle measurement. For instance, on a unit circle the coordinate at pi is (-1, 0). Since we’re referring to the unit circle, the radius is 1. Sine’s ratio is y/r, therefore we’ll have 0/1 which equals 0. So the result is simply a matter of fact and the only rule or agreement is that sine equals y/r or opp/hyp.
@@FortBendTutoring Thank you; what you say is clear. I suppose the time to question the precision of sin(pi) = 0 would have been when the unit circle was first conceived. But alas, or perhaps fortunately, Texas Instruments wasn't around then.😊 LOL Thanks again.
Happy 2 help! 👨🏾🏫😁
I have recently figured out how to find sin,cosine,tangent using the sohcahtoa method,but I don't understand how to find degrees when working with sin,cosine,tangent or why we are using pie either?
To find a degree or vise versa (pie), use this method:
For degree: pie*180/pie
For instance, you want to change 2pie/3 to the degree: 2pie/3*180/pie=120 degrees
For pie: Use the reciprocal of 180/pie, such as:
For instance, you want to change 120 degrees to pie: 120*pie/180=2pie/3
I hope this helps. I learned it from Precalculus Demystified (series).
Here’s our videos on the topic: Converting Degrees to Radians [fbt] ua-cam.com/video/ZVxj_PklVxE/v-deo.html
ua-cam.com/video/g0ZYe4DrPZk/v-deo.html
In a case of Y=sin(-X) would you use |b| , or is it valid to have a negative period?
Great question! One could also say that, when using the Odd Function identity, since y=sin(-x) is equivalent to y=-sin(x) your b-value is positive anyway. 😎
And you’re correct. The period is a distance. Therefore, it’s always positive.
@@FortBendTutoring Thank you; FBT is great.
How do you enter sin(pi) into the calculator? When I do it, it doesn't equal 0, it gives me a crazy decimal.
Jake Rivers Change the calculator angle measurement mode from degrees to radians.
Hello, do yall have any videos for graphing cot, csc or sec functions? Thank you in advance!
Not yet, but we’re working on it!
Fort Bend Tutoring how big of a donation would allow y'all to get them faster? Not trying to bribe, just spreading the love so we can red box it!! Lol
lol Anything would be greatly appreciated and motivational Michael 😁!
I just sent a little donation your way! Thanks
Wow Michael! I appreciate your generosity! Expect the first to go up by the end of the weekend! I’ll upload csc 1st!
How did you get 1 for the amplitude?
Hey Jacob! Appears you're having the same issue. 1 is multiplying on
everything always. So y = sin(x) is also 1•y = 1•sin(x). Therefore, the
"a" value that's needed for the amplitude is 1 because it's the number that is
multiplying our function sin(x).
I have no idea how you are figuring these things out, do you have a video that I could watch that explains how you are figuring these things out?
Sure! Finding the Six Trigonometry Function Values [fbt] ua-cam.com/video/uLkUQPb-uDo/v-deo.html
Your increments are pi divided by 2
+prankspickup Ok. Example 1 has increments of pi/2 as shown in the xy-chart and graph. Thanks 4 sharing.
I am trying to get my G.E.D and it seems impossible.
hey, it's not impossible, I took my GED, now I am in college, just keep trying, because I failed it twice then 3rd time I got it, you have to be fast...and don't give up...you will get your GED...good luck!
I'm really bummed out that I can't wrap my head around this
You can do it Mike Jones, Mike Jones! Check out the video I linked in your other comment and hopefully that will help you!
I have a dilemma.