Couldn’t agree more with several commenters: I’ve been teaching myself precalc and looking for days for the “perfect” video to explain fully/clearly how to model a periodic context using sin and cos functions (especially how to find the phase shift/“c” value). This video is awesome!
Thank the lord I understand now!!!! I have been searching all day for someone to clearly explain how to solve for the period. Let just say you're the reason I an receiving a 100 on my Hw ^-^
Thanks a lot my teacher just said what the value for c was and never properly explained how you got it and I was liked that you touched on questions in which they could u ask if they would like the amplitude as negative or positive
So can we always express/name the same graph in terms of either cosine or sine (obviously excluding other function graphs like tan. / cot)? Or is there some specific way we tell a sine graph from a cosine graph??
That's the thing, there is no difference. It's all about where you want to "start" the graph. Every sinusoidal graph can be expressed as either a sine wave or as a cosine wave. There is an infinite number of ways to describe the graph. The amplitude, period, and vertical shift will be the same for all of them, only the horizontal shift and overall sign of the function will change.
At 16:50, aren't the minimum and maximum values equidistant from each other? Since they are equidistant, couldn't you pick the point (2Pi/3, -1) for writing the cosine equation instead of (-2Pi/3, -4)?
Beautiful explanation, useless to understand how you CALCULATE c because first example is an easy particular case when b=1, second example = special case c=0 therefore USELESS
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videos like these are timeless and eternally helpful. thank you!
Couldn’t agree more with several commenters: I’ve been teaching myself precalc and looking for days for the “perfect” video to explain fully/clearly how to model a periodic context using sin and cos functions (especially how to find the phase shift/“c” value). This video is awesome!
Thank the lord I understand now!!!! I have been searching all day for someone to clearly explain how to solve for the period. Let just say you're the reason I an receiving a 100 on my Hw ^-^
Sameeeee
Thks a lot Mr.D Klinkerman I was depressed that I couldn't understand this but, thanks for saving me from my upcoming assessment!!💯
Thanks for helping me learn trigonomic functions! I am trying to learn them in 4 days so this was a big help.
Thank you, thank you, thank you. The best explanation and simplest to understand.
Thank you so much for an easy to understand video! This has improved my understanding so much!!
Thanks a lot my teacher just said what the value for c was and never properly explained how you got it and I was liked that you touched on questions in which they could u ask if they would like the amplitude as negative or positive
A++ Explanation. Thank you.
Clear and direct, excellent video
This was super helpful, thank you !
For the second last function, wouldn't c be distorted by b. If so how would you find c then
honestly God Bless your soul, you saved my mark. Thank you so so so so so so so much!
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Thank you a lot, you've just saved me.
Perfect explanation !!!!!!!!!! Thank you!!!!!
Video iyi eee yabwela kuzala🙏
Thank you for posting this.
How do I find c ??
isnt it x-2pi/3 on the last question for cos function
how did he know pie over four was the break down for the x axis?
What would the equation be if B = 2?
i dont get how you can be sure tho 17:00 because i can also start at the maximum value near the y-axis
So can we always express/name the same graph in terms of either cosine or sine (obviously excluding other function graphs like tan. / cot)? Or is there some specific way we tell a sine graph from a cosine graph??
That's the thing, there is no difference. It's all about where you want to "start" the graph. Every sinusoidal graph can be expressed as either a sine wave or as a cosine wave. There is an infinite number of ways to describe the graph. The amplitude, period, and vertical shift will be the same for all of them, only the horizontal shift and overall sign of the function will change.
Thank you so much Sir🙏
Thank you so much very useful information
Great job here.
what is the equation for c
make it 1080p plzzzzzzzzzzzz
At 16:50, aren't the minimum and maximum values equidistant from each other? Since they are equidistant, couldn't you pick the point (2Pi/3, -1) for writing the cosine equation instead of (-2Pi/3, -4)?
That’s what I was thinking
THANK YOU!!!!!!!! you have saved me lol
Thank you very much Bro!
this was so helpful! thank youu!!!
you sound like channing tatum in 21 jump street. hence, great video sir
very useful bro 👍
Thankyou
thank u i am very dumb but now i feel very smart
Shown
Beautiful explanation, useless to understand how you CALCULATE c because first example is an easy particular case when b=1, second example = special case c=0 therefore USELESS
I don’t understand when you are using a pie😭😭💔please use this equation but don’t not use a pie or is it necessary/important to use it?
w o e
butter
your graph is so confusing
Would you bother being more specific. What is he supposed to say?
^
you ramble my dude
lecture is good graphs are terrible so bad to watch! ı guess he is phyco
wtf
same bro, same