Determining the Equation of a Sine and Cosine Graph

[@MoreClawsomeCo]

I was 6 years old when this video came out. Now I’m in college and thriving because of this video

[@Mathispower4u]

That is great to hear. Yes, I have been at this for a long time. 😄

[@jfejhcjwjfue614]

Look at us, 10 years, we all here because we have a test tommorow lmao

[@sua6887]

Right😭😭

[@Nummed]

yea same

[@declanrodgers8004]

same dude !

[@frenchroast532]

Tomorrow? More like today lmao

[@hobobazaar8196]

I'm here because my professor was too lazy to make his own lecture videos. Wouldn't have it any other way, this guy rocks.

[@cristianbenitez8766]

The first two minutes of your video has cleansed the last two days of my frustration. Thank you sir!

[@nikitasharma8664]

How to figure out whether it's sin or cos: Know the parent graphs of sin and cos. Sin goes up from the origin, while cos starts above the origin and goes down. When reflected over the y-axis, sin goes down from the origin, while cos starts below the origin and goes up. Determine which one is closer to your graph.

[@gulnoorthoughtso3082]

saved me so much time, thank you

[@alpacinoismydad1293]

do u mean reflected in the x-axis or am I getting confused??

[@DOOMSDREAM]

real g shit thanks

[@Zaphod7835]

Thank you thank you thank you! you saved me! Everything makes perfect sense! Why does my teacher makes it so complicated?

[@ryecustard7687]

My only issue is trying to figure out if it's sin or cos

[@Ariminua]

You can use either since both graphs are nearly identical, just off from each other by a horizontal shift of pi/2 rad.

[@nikitasharma8664]

Helpful Tip: know the parent graphs of sin and cos. Sin goes up from the origin, while cos starts above the origin and goes down. Determine which one is closer to your graph.

[@shiromandeenanton7853]

lol

[@e_brangelical]

They're the same...from a certain point of view

[@daniels5471]

They are pretty much the same it just depends if you are asked to find sin or cos

[@freaksprofunnychannel]

You know you the GOAT when you watchin this video 1 hour before your exams

[@scotteckert1162]

Many books use y =A sin (Bx + C) + D and the openstax Precalc uses y = A sin (Bx - C) + D. Your video switches the C and the D and students might get confused by the switch. Earlier students likely learned the quadratic: y = a (x - h)^2 + k. I suggest that maybe students can more easily transition to the trig with y = A sin [B(x - h)] + D and that y = A sin (Bx - C) + D might correlate to more textbooks.

[@CarnationCoral]

Why are y =A sin (Bx + C) + D and y = A sin (Bx - C) + D both used? Does changing the sign of C not change the direction of the phase shift?

[@g00se_ars0nist]

thank you man😭 I just blanked entirely while taking my quiz

[@Mathispower4u]

You are welcome!

[@GamerPLAYSYT222]

@@Mathispower4ubro still responding 14 years later 😊😊

[@Poiutsbj]

halfway through the video and I understand it better than my math teacher taught, ong wish you were my teacher

[@terryvideo]

THANK YOU!!! I've been trying to find a video that deals with phase shift

[@scoutharris8586]

:))) theme music is great! Math channels on yt are a life saver

[@Iamawesome009]

My goodness, in class this was so confusing and I felt like an idiot for not getting it... now I realize that it's very easy... and now I still feel like an idiot for not getting it! :)

[@xelp435]

13 years is wild

[@cheetos4010]

Sir you go way to fast pls explain yourself more on how you get the answers thanks you this helped even though I had to stop a lot of times to get how you would get a certain answers

[@akhillullu]

I have a graph with me. Which have only phase of 180 degrees. But have a length of 1000mm. And a maximum height at 90 degree of 1mm. How can I find out the equation.??

[@mrmoe5272]

You are a life saver.Thanks a million

[@fishyking003]

your help was much appreciated! thanks! :)

[@thomasslone1964]

just started algebra inequalities, should i even be trying to learn this(want to calculate pi in a java function and need to repesent a quarter of a circle in an equation)

[@miroticYJ]

what ? It's a sin because sin starts at the center and thats where he drew his line to begin the period. If he started the period at like the maximum, then he could have used cos. i find cos easier to use every time :\

[@zachthorne8700]

Please explain how you got D a little more in depth.

[@enchanteDREAMer01]

Thx so much! Rly helped me with hmwk

[@emmanuelapuamadi9591]

the last problem you solved, I don't understand how you got A which is the amplitude

[@nore4442]

shouldn't d be pi? [5pi over 4] minus [pi over 4] is just pi.

[@nore4442]

im referring to the first example btw!

[@Mathispower4u]

@@nore4442 Yes, the period is pi. But that is why we set (2pi)B = pi.

[@TheKangoeroe]

Could someone plz re explain how u find B my english isn t very good

[@idontreallyknow1749]

You have nice handwriting good video :)

[@dyheims]

I love the theme music!!!

[@ivanlomeli6609]

THIS WAS SO HELPFUL WOW

[@D4ddyT0uchM3]

B finds us the period, how many radians/degrees a cycle (period) goes to?

[@kk727872]

WHAT DOES 'B' IN THE EQUATION TELL US? :) THANKS!

[@shiromandeenanton7853]

the horizontal compression or stretch

[@alpacinoismydad1293]

x-dilation

[@emmanuelapuamadi9591]

I thought how to answer it is 3pi/4 - - 2. please help me out.

[@D4ddyT0uchM3]

B is always B= 2pie/ whatever~ example is the last Q he showed us, B= 2pie/ divided by one period which was : 7pie/4 subtract, negative pie/4... which is 2pie... so 2pie/2pie is 1... hence the 1 in his last example as B.... ummm understand?

[@voyagerTwoo]

What a legend, thanks!

[@uygarbaran8515]

Thank you so much you helped a lot

[@PrinceOfParthia74]

D= -pi-4 ?? how the fuck?

[@sahibjot2377]

ikr this is the one thing I dont know. I knew everything else! THERE HAS TO BE A MAGICAL FORMULER FOR THIS CRABBY D PATTY MANE!!!!!

[@Derp-rz1nn]

THATS WHAT IM SAYING, he was the one who shifted it over, the graph isn't originally like that, he sectioned it off. If he had started from 0, there would not have been a shift. Or he could have picked the period ahead and got a different shift.

[@Sekkou_osu]

obrigado sousa

[@moyome790]

Yeah

[@JulianFZ-pw8ex]

La IA de google me mando para acá

[@Barticus_]

Thanks!

[@peytonbenink7405]

thius does not make sense

[@DanielHernandez-ht3lh]

thanks

[@supercrazyfawful8779]

My head hurts.

[@MaisieThaois2awesome4theworld]

Thx you

[@klilianna]

helpppp

[@shiromandeenanton7853]

he did last one wrong