Sine or Cosine Writing Equations Given Graph
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- Опубликовано: 14 окт 2024
- Is the graph a sine or cosine graph and which function should you use when writing the equation. We discuss sine and cosine equations in this free math video tutorial by Mario's Math Tutoring.
0:11 Example 1 Write the Equation of the Sinusoidal Graph
0:42 Draw Midline of Graph to Find Vertical Shift
1:10 How to Find Amplitude
1:30 Deciding Whether to Use Sine or Cosine
1:40 Parent Function Graphs for Sine and Cosine
2:01 How to Calculate the Period
2:27 Formula for Calculating the Period
2:58 Representing the Graph as a Reflected Cosine Equation
3:37 Representing the Graph with a Sine Equation
4:22 Representing the Graph with a Reflected Sine Equation
4:56 Representing the Graph with a Shifted Cosine Equation
Related Videos:
Graphing Sin and Cos
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Finding a Sinusoidal Equation Given a Maximum and a Minimum
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It's currently 12:44am, and you sir have just saved me. You will never know how grateful I am for this video lol!
Glad my video helped you SJM!
12:09am, haha!
Lmfao 3:08 am
12:55 am on my end 😅
12:04am here lol
You deserve the best teacher, just saved me from confusion.
Well, guess who just saved me from failing my trig exam! My teacher tried to explain this but it never made sense till this video!
Thank you so much! Watched about five videos before this and none of them explained this concept as well as you. So glad that I found your channel!
Thank you Mario. This is the only video that actually helped me with this topic. I appreciate your ability to make the concept very clear when my teacher can't. +1
Your explanation was so systematic, clear and easy to understand. Thanks👍
Dude you just helped me so much! Thank you our teacher didn’t really explain this at all!! he gave us one problem and told us to learn from that!!
You are a born teacher. Thank you so much for all your efforts and dedication.
You are very welcome
I hope this message finds you well. I've been following your RUclips math tutorials and find them incredibly helpful. I have a few questions and was wondering if you could guide me on how best to contact you for some questions. If possible?
Cool, thanks!
Sir even though Iam a doctor and not a student of mathematics then also I could make sense of it ,that just goes to show what a great teacher you are.
Some stupid questions from this doctor-
Why are waves represented as sine or cosine functions?
Use of integral and differential equations in practical life
You make things so easy to understand thank you
ITS 7:50 IN THE NIGHT AND YOU SIR HAVE JUST SAVED ME. YOU WILL NEVER KNOW HOW GRATEFUL I AM FOR THIS VIDEO LOL
Mario always bringing great helpful videos thanks Mario!
Thank you SO much I was struggling so much with this and you made everything click!
My math test is next period, and thank you so much for saving me to relieve some stress!
Life saver. Thank you, Mario!
Thank you so much this helped me understood the most confusing thing my teacher tried to teach us
Wow, never knew Johnny Sin is a good mathematics teacher.
THANK YOU
Thank you so much! Helping me prep for finals!
Thank you so much!! This was so helpful :D
You’re welcome Aava!
Wow. Thank you so much, you made it so simple
You’re welcome! Glad it helped!
really really helpful, thank u so much!!!
Glad it helped!
can you please explain to me how one can tell if the a value (amplitude) is negative or positive?
From my knowledge, the amplitude is always positive. It's the value of the highest point on the graph subtracted from the midpoint.
@@achyutreddy2007 i didn’t need this anymore, but thank you so much😭
Thank you Mario, you are so awesome!
saving me for my pop quiz. thank you
You’re welcome!
Oh my god this saved my grade 🙏. Question however, if you use a positive amplitude on the cosine graph which you did, doesnt that mean that B would be -2pi? Because you said we could use any point when using that one, because it isn’t reflected.
I mean if you use the maximum on the right instead of the left.**
that really did help a lot thank you
You’re welcome Pedro!
Very good explanation
Glad you liked my video.
Thanks you so much for this video
Thank you brother I spent 30 mins on this i was so lost
Glad it helped!
May God bless you sir
mario’s a real one 💯
Thank you so much this video is super helpful!
Thanks. From Bangladesh.
great video! thank you!
Thank u sooooo much you saved my life i will always be grateful to you
You’re welcome! Glad my videos have helped you!
I really appreciate that you shoot this video! I'm gonna subscribe your channel!!
Awesome! Glad you liked my video! Welcome to the channel!
Excellent!
I'm learning this on Khan Academy and it's so confusing. I find myself in circles where I do understand then i'll just get randomly stumped.
Thank you so much !!!
I got itttttt
Great job!
Currently 4 min until my test thansk bro
nice video，learning this now. thanks
Thanks! Glad my video is helping you.
Hello, do you know how to make it cut off, say from -pi to pi/2 only portion? Thank you!
oh nevermind, its just X value
Thank you sir,I am from india
Brilliant dude you always teaches me something.
Glad my video helped you Usman!
he should teach you english next time
@@tiktokclips9009 you a meat rider
Thank you very much !
You’re welcome Michelle!
Perfection.
thank you
You're welcome
wishing my teacher could teach thank you so muchchchchch
Glad my sine and cosine video helped you Cindy!
well explained sir, but unfortunately I'm having some sort of deficalty with sin and cosine phase shift. this is one of the problems that i'm finding complicated, 3 sin(2x-pi)+2 i can actually find its amplitude, vertical shift and period, I'm just not getting 'WHY' i need to factor out 2 like this ' 2(x-pi/2)' , why can't i just shift the graph by 'pi' unit to the right..?? again, i can figure out all except it's phase shift i would just like some explanation behind that 'factoring out 2' thing, sorry for this long question. ''please some explanation would be helpfull, I'm struggling with it from last 5 days''
Aadil, you can shift the graph right pi and then horizontally compress the graph by dividing the x values by 2 however it is easier to factor out the two and calculate the period as pi/2 and then shift that graph right pi/2...either way you will get the same graph...I recommend reviewing transformations of parent functions ....hope that helps
How can I share my question to you sir
What about given points?
Why is Pi used? I see it in every video and I’m so confused on what to do
Thankyou
You’re welcome Simar!
Sine starts at origin
Cosine starts at maximum
What does “reflected over the x-axis” mean? Anyone?
if a point is reflected over x axis then the x coordinate remains the same but the sign of y coordinate becomes negative. or simply imagine it as a water image of something with respect to the x axis or it gets flipped over the x axis.
😃
why is pie everywhere
thonks
love you bae
I have one question
Graphing Sine and Cosine Functions with Transformations (Multiple Examples) ruclips.net/video/U3ktjhKRdng/видео.html
Dude kinda sounds like Mark Cuban
Thank you ...
You’re welcome!