Sinusoidal Function Word Problems: Ferris Wheels and Temperature

Here we tackle some sinusoidal function word problems.

[@madmaths7895]

What other topics do you want me to cover? Check out the channel for more tutorials!

[@bobk3881]

you don't know me. But I want to give you a hug. I understand it. Thank you so much. I love that you explain why everything on your graph is labelled how it is. Thank you

[@Cinnammonroll123]

One of the best Ferris Wheel Problem explanation I’ve seen

[@anushkabist1170]

You are a lifesaver, thank you SO MUCH.

[@stephaniek3466]

thank you so much dude 🙏🏾🙏🏾 i’m taking honors pre calc next year hope u help out some more

[@coolstar3971]

a fabulous explanation with proper application, thank you.

[@yakshsoni6617]

When do you figure out if there is a phase shift or not?

[@marwahaidari693]

We would be happier if you could have written the second question completely with the parts. Thank you

[@Jacob-of9wf]

thank you for this

[@richardbailey2001]

How did you get inverse of Cos ( 4 / 30 ) with an answer of 97.66 ... when I put that into my calculator .. inverse of Cos ( 4 / 30 ) .. I got 82 . 3377 .. where am I going wrong ?

[@madmaths7895]

It is because you are taking the cos inverse of negative 4/30. I forgot to write the negative in the next line. My bad. But the answer remains 97.66.

[@BobThef]

thanks very underrated! also on an exam u would likely be allowed to use a calc for finding height and specific time? right?

[@madmaths7895]

Yes, usually you just use a calculator.

[@sjdanial5524]

when i put it into desmos it doesnt make any sense at all. is there a correct way to input it? i am struggling.

[@chloejackson481]

ME RN

[@salmanel-farsi3744]

The question did specify to use a sinusoidal function, so does not that imply using a transformation of h - sin(t)?

[@madmaths7895]

Sinusoidal functions refer to both sine and cosine functions!

[@sarsora5719]

Very helpful!❤

[@yksid_1226]

How did u get 36 as the vertical shift, wouldn’t it be 6 since that’s the initial starting point ?

[@madmaths7895]

The vertical shift is the distance from the axis (or midline) to the x-axis. Not from the lowest point.

[@lil_uji_goated]

aren't you supposed to use 2pi instead of 360

[@rr.richie]

thats what i thought

[@VadikMironoff]

pi = 180, 2pi = 360 degrees. They're interchangable.

[@JonBonStomp]

2pi is in radians, 360 is in degrees. He's currently using degrees.

[@HamishaBadhan]

where did he get the 40 from when he was doing the feriis wheel last question

[@madmaths7895]

I was just showing that you could be asked a follow-up question like "when is the height 40ft?" 40 would be given to you in the question.

[@COSMIKREVIEWS]

Thanks

[@syu8641]

what about finding time of when you reach a specific height for 4,5,6th time for example?

[@ellenli3873]

The video shows that

[@DesziOLeary-Pippo]

How could you explain how to solve the first time equation

[@DesziOLeary-Pippo]

With no calculator

[@madmaths7895]

That would require a calculator for most people, myself included.