Trig Functions: The Ferris Wheel

[@makenzie2353]

Awesome explanation. You make it seem so easy.

[@paawanchhabra]

Broo!! You are my knight in shining armor. My saviour. I bow to thy majesty. Thankyou for making this video.

[@bobbuilder4422]

simp!

[@paawanchhabra]

@@bobbuilder4422 Let me be

[@sdave6760]

Just came over this video.Excllent explanation with graphics.❤❤

[@anandganeshbalasubramanian608]

if I were to continue it as a Sin function, how should we arrive at C? Please explain

[@event2442]

Please do explain

[@bethjackson2239]

Thank you so much for the great explanation!!!

[@ricardovaldez2141]

I understood everything but what do I plug in as C? If it’s cosine is it just 1?

[@tweetybirdy6131]

Thank YOU!

[@julia-h4d6p]

Thank you so so so SOOO much! I love you

[@silveeuhhhh]

this was so helpful thank you!

[@jonnuki]

awesome thanks, I gotta watch again to understand why we're switching to negative A and cos

[@demiyo8424]

ayyy jonnuki

[@johnfei434]

And if you want to transform a cos into a sin, know that sin(90-x)=cosx. So in this case, y=-8.5sin(90-7.2x)+10.5. That's something I wish my teacher tought me 2 weeks ago...

[@Josh-sh6oy]

How did u get 7.2

[@Mark-ei6dg]

hows life

[@mohammadalaee8687]

why didnt you simply write the Sin function (as it starts at the minimum) and took an extra step to write a Cos function by any chance?

[@NerdStuff3141]

A cos function starts at the minimum. A sin function starts at the midline which would be 10.5 in this scenario.

[@charliewilson3234]

This was awesome...

[@DefinitelynotLeed]

starts at 0:42

[@vanessamontoya3262]

Very easy to understand, thank you.

[@Ikiguyy]

Sir, why do we apply the strech to the x value (or t in this case) to the phase shift aswell? Surely its only the x thats being streched

[@adriansessions5580]

Formula is incorrect. Should be ....y = A sin B(x-c/B)+ D

[@aaryamanmummadavarapu7120]

Im pretty sure if you were using cos the a would be positive and the C would be 25? Since this graph started at (0,2) went to (25,19) then back down to (50,2). So since the parent Cos graph starts at the maximum you would have to say the maximum is (25,19) and so the graph is shifted 25 to the right making C=25, and A would still be positive because the graph starts at a maximum still and not a minimum. Am I doing something wrong? I understand what you did, I just want to know if this way works or not.

[@maggie-fy6oz]

this is better than khan academy

[@ArnoldTutoring]

Peng Hsin Yi that’s a fire comment thanks. But we also love KA :)

[@bobbuilder4422]

what if they give you radius? then what do you do?

[@marwahaidari693]

Well described thanks a lot

[@huskydragon2000]

I get it now! Thanks

[@amberfielder-beaumont2980]

Super helpful thanks!

[@ArnoldTutoring]

Glad we could help!

[@ellewoods3321]

what do i do if theres no information about the time? My problem tells me that the rider is on the ferris wheel for two revolutions, but it doesn't say how long it would take or anything like that, help.

[@ArnoldTutoring]

Interesting. Can you provide a bit more clarity on what your question asks? There must be some way to determine the period.

[@annar193]

2 revolutions = 2 cycles through the entire wheel. Once cycle goes through 2pi radians, so 2 revs would be the same as 2 cycles, or 4pi. Treat that as your B value.

[@greyt125]

anyone else hears sirens around 5:15

[@ArnoldTutoring]

greyt_ 1_25 🤭 🚨

[@jashbhagatji7857]

Awesome explanation I undertood it,, Thanks a lot

[@plipplop1769]

What does the c stand for?

[@ArnoldTutoring]

Hi! You can think of the c as the horizontal shift of the graph from the normal starting point of either the sine or cosine graph.