How To Graph Trigonometric Functions | Trigonometry
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- Опубликовано: 5 сен 2024
- This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, amplitude, and the period of the sinusoidal function. This video contains many examples and practice problems on graphing trigonometric functions for you to master this topic.
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Trigonometry Formula Sheet:
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Full 1 Hour 25 Minute Video:
• How To Graph Trigonome...
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The full version explains how to graph secant, cosecant, tangent and cotangent functions.
Trigonometry Formula Sheet: bit.ly/47diggI
Full 1 Hour 25 Minute Video: www.patreon.com/MathScienceTutor
Direct Link to The Full Video: bit.ly/38wtIWU
But why change it to 4 pi over 2 instead of leaving it as 2 pi in the second last question y=sin( x - pi/2)
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this was explained perfectly, I was so stressed bc during lectures I did not understand what was going on. you went over basics and it helped so much!!
MR. Organic Chemistry Tutor, thank you for showing high school and college students How to Graph Trigonometric Functions the correct way. You are the first instructor that showed me How to Graph Trigonometric Functions the correct way.
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Tutors at my school couldn't teach me this in over two hours what this video accomplished in 20 mins... thank you sir and thank god for RUclips tutorials.
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I love you. I spent two hours in my precalc lecture last wednesday absolutely oblivious, you made this so easy to understand. Thank you so much.
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I have my term final tomorrow and part of it dealt with cosine and sine functions. You are a life saver, I didn't understand this until just now
For anyone wondering how he figures out the tick mark values on the x-axis: there are 5 critical points in the sin/cos cycle. Look at a one cycle of a cos/sin graph, and there will be 5 values: 2 values dictating the upper/lower bounds (y-axis values), and 3 values that will cross the x-axis (zeros). In order to find those critical point values (if you're dealing with a phase-shift), you find the value of the phase shift (0=Bx+c, solving for x), and then you add pi/2 recursively.
For example, for y=sin(x+pi/3), the graph will start at x=-pi/3. Critical point #1 is -pi/3. To find critical point #2, -pi/3 + pi/2 = pi/6. To find critical point #3, pi/6 + pi/2 = 2pi/3. And so on until you have 5 values. You can use a calculator to add everything to make it easier. if you're still having trouble, google LibreText Mathematics section 2.4 on Phase shift.
First few mins in and I already understood a bit better thanks. My instructor in trig has been doing it for awhile and leaves vital info out during his lecture vids.
I am taking a trig course this semester, and I learn more from these videos that I do from my professor or her handouts. This channel teaches me all I need to know to get my assignments done in less time than the lectures or any hand outs/reading!
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There's nothing "video" here. The half-wit has entirely missed the opportunity to use a visual medium to show why these trigonometric ratios take the shape they do -- because radii stay th same while the other sides of the triangles involved vary.
Just a horrid, stupid, ignorant waste.
@@TheDavidlloydjones This is by far the most upset I have seen somebody get from a free trigonometry lesson
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To Sum Up: For equations y=a sin(bx) and y=a cos(bx), |a| is the highest y value point on the graph and -|a| is the lowest y value point on the graph. |b| represents the frequency of the graph or 2pi/b
I don't get it at the level of 15:15 because of the graph extending to 4pii and why is the negative y-axis is upto -3 .
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mr. tutor you are an absolute lifesaver, thank you, I felt like I was gonna tear my hair out when I was trying to answer this
Brilliant breaking down of trigonometric Graphing
Really Helpful Thank you very Much!!
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Spent an hour trying to figure this out based on the book and modules our teacher provided but this video taught me in less than 7 mins
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I could not understand a thing about drawing trig graphs in class.
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Hi,just wanna enquire act y do we put pie values and not actual real values such as 90,180,360 and so on🤔
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Hello incase you need help in online classes,assignments and tasks ,I'm here to help you out.
What's the period of the function y= sin x + cosx???
How did you get 3pie/2? 19:07
Thank you,You have helped me a lot.
The equation is y=Asin(Bx-C)+D
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Thank you!
This helped me so much!! Thank you!
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Mistake at 21:48 it should be 5 pi/2 not 4. Great Video regardless.
This helped so much! Thank you!
Now let's talk about..
graphing..
..TRIGONOMETRIC FUNCTIONS.
Why is it so easy for me to understand you and so hard for me to understand my teachers?
Thanks much💯
may you have a good life
At 21:50 the number in between 5 and 1 should be 3 on the y-axis of the graph.
There is 2 at the middle. Its just cause the amplitude is 2 he shifted the graph 2 units up and down from 3 which will bring us to the numbers 5 and 1 respectively.
I wonder why there is a person disliking this..
I think, the people who disliked this video are our professors who always fail to teach us smth properly💀
Nice Explanation
Thanks for the video!
It really helped thanks bro❤
Thanks Mr, but that function of y=2cos(x)-1 the period is in 360 degrees, or am I confused.
Keep on moving sir 🙋🙋🙋
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I'm here because the OpenStax course is letting me down when it comes to this particular subject. Algebra and prealgebra were fine except when explaining how to sketch functions or derive them from a graph, and with trig it's just awful. Just listing formulas, skipping steps, no explanations. EDIT: yeah, this guy's explanation is so much simpler. Such a simple step-by-step to construct a graph with phase shift. The OpenStax textbook makes this so needlessly complicated.
Saved my life
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this helped so much
Thanks
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Very helpful thanks sir
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you can also think of B as the number of cycles within a length of 2π
lets gooooo!!! crazy with math!!!
thank you so much, this helped a lot :)
at 17:45 isn’t the general form of sine function is asinx(bx-c)+d?
No it is + c
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Thank you
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Do you have a video for Analysis of Variance (ANOVA)?
how do you know how many key points the graph are that's where I'm having a hard time
I'm absolutley speechless .
13:09 TS
The best video
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