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.
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.
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.
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.??
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)
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
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! :)
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 :\
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?
I was 6 years old when this video came out. Now I’m in college and thriving because of this video
That is great to hear. Yes, I have been at this for a long time. 😄
Look at us, 10 years, we all here because we have a test tommorow lmao
Right😭😭
yea same
same dude !
Tomorrow? More like today lmao
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.
The first two minutes of your video has cleansed the last two days of my frustration. Thank you sir!
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.
saved me so much time, thank you
do u mean reflected in the x-axis or am I getting confused??
real g shit thanks
My only issue is trying to figure out if it's sin or cos
You can use either since both graphs are nearly identical, just off from each other by a horizontal shift of pi/2 rad.
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.
lol
They're the same...from a certain point of view
They are pretty much the same it just depends if you are asked to find sin or cos
Thank you thank you thank you! you saved me! Everything makes perfect sense! Why does my teacher makes it so complicated?
You know you the GOAT when you watchin this video 1 hour before your exams
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.
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?
halfway through the video and I understand it better than my math teacher taught, ong wish you were my teacher
thank you man😭 I just blanked entirely while taking my quiz
You are welcome!
@@Mathispower4ubro still responding 14 years later 😊😊
THANK YOU!!! I've been trying to find a video that deals with phase shift
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.??
:))) theme music is great! Math channels on yt are a life saver
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)
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
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! :)
13 years is wild
Please explain how you got D a little more in depth.
Could someone plz re explain how u find B my english isn t very good
I thought how to answer it is 3pi/4 - - 2. please help me out.
WHAT DOES 'B' IN THE EQUATION TELL US? :) THANKS!
the horizontal compression or stretch
x-dilation
You are a life saver.Thanks a million
the last problem you solved, I don't understand how you got A which is the amplitude
shouldn't d be pi? [5pi over 4] minus [pi over 4] is just pi.
im referring to the first example btw!
@@nore4442 Yes, the period is pi. But that is why we set (2pi)B = pi.
B finds us the period, how many radians/degrees a cycle (period) goes to?
Thx so much! Rly helped me with hmwk
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 :\
your help was much appreciated! thanks! :)
D= -pi-4 ?? how the fuck?
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!!!!!
You have nice handwriting good video :)
I love the theme music!!!
THIS WAS SO HELPFUL WOW
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?
What a legend, thanks!
thius does not make sense
Thank you so much you helped a lot
obrigado sousa
La IA de google me mando para acá
Yeah
My head hurts.
Thanks!
thanks
Thx you
helpppp
he did last one wrong