you are a lifesaver! I'm in pre-cal and I don't listen because my teacher goes off on these long rambles of random, not math related things. But I have a test today! and you made me feel confident! Thanks!
I learned more in the 5 minutes of watching this video than I have in the past 2 weeks of pre calc. thank you. tomorrow i might just manage an A on my test
The constant before the sin or cos is the amplitude which is the vertical distance between the middle line of the graph. The middle line of the graph is the vertical translation, which is the number added or subtracted at the very end of the equation. So the max and mins are the ampltude above and below this middle line (vertical translation).
@DeeCiii I believe your comment refers to the first example. Do the reflection first so (0,1) reflects to (0,-1), then do the stretch (2) so the amplitude is 2 and the point stretches into (0,-2). Finally translate it pi/2 left and down 3 so it becomes (-pi/2, -5). Always do reflections and stretches first and then translations. This is actually BEDMAS, multiply first, then add or subtract.
This lesson was taught using radians to measure the angles, instead of degrees. There are 2 pi radians in 360 degrees, or pi radians in half a circle or 180 degrees. So pi and 180 degrees are equivalent.
+Melanie Smit Hey. Thanks for the comments. I appreciate hearing from people that find my videos useful. I am glad they were helpful to you. Take care.
I'd really need to know the rest of the equation, but basically the sine curve has a max at 1/4 through a cycle so at every quarter period there would be a maximum.
12 m is the radius of Ferris wheel, so the person travels 12 below the centre of the wheel (at the bottom) and rises to 12 above the centre of the wheel (at the top). If the radius is 12 m, then the amplitude of the sinusoidal graph is also 12.
you are a lifesaver! I'm in pre-cal and I don't listen because my teacher goes off on these long rambles of random, not math related things. But I have a test today! and you made me feel confident! Thanks!
I learned more in the 5 minutes of watching this video than I have in the past 2 weeks of pre calc. thank you. tomorrow i might just manage an A on my test
did you pass?
@@thatdudel0c4l2 lmao 11 years late
@@aydinuzun4646 lmao 7 months late
The constant before the sin or cos is the amplitude which is the vertical distance between the middle line of the graph. The middle line of the graph is the vertical translation, which is the number added or subtracted at the very end of the equation. So the max and mins are the ampltude above and below this middle line (vertical translation).
Literally one of the most useful videos on youtube
@DeeCiii I believe your comment refers to the first example. Do the reflection first so (0,1) reflects to (0,-1), then do the stretch (2) so the amplitude is 2 and the point stretches into (0,-2). Finally translate it pi/2 left and down 3 so it becomes (-pi/2, -5). Always do reflections and stretches first and then translations. This is actually BEDMAS, multiply first, then add or subtract.
This lesson was taught using radians to measure the angles, instead of degrees. There are 2 pi radians in 360 degrees, or pi radians in half a circle or 180 degrees.
So pi and 180 degrees are equivalent.
Thank you. This has really helped. Appreciate your time and that you share the knowledge.
+Melanie Smit Hey. Thanks for the comments. I appreciate hearing from people that find my videos useful. I am glad they were helpful to you. Take care.
Thanks. This helped alot, I wanted to review and practice for my Biomedical Signal Processing class.
Excellent video! Thank you! I'm sorry that I didn't find your video until now.
The period is 20 seconds, the pi/10 is just the constant used in the equation after the sin and before the (t - 5).
Then, what is the maximum value of 3 - 9cos(2x-pi/6)? hw do i determine it?? thx!
i dont get the scale of x axix.... :(
@mateooosays Do you remember what the cos graph looked like so instead of it going up it would go down at the start.
thanks. i got a test tomorrow, and this makes me feel ready! :D
if y = volts, how would you find the time where the sine wave is at maximum voltage?
E=v/d
i don't understand how you got the period in the final example. the x-axis was already measured in seconds, so how did you come out with pie/10?
I'd really need to know the rest of the equation, but basically the sine curve has a max at 1/4 through a cycle so at every quarter period there would be a maximum.
Thank you ❤❤
omg all these comments are so old, we all suffering through trig
THANK YOU SO MUCH
how do you know the minimum and maximum numbers
you said the B value was K, K is what is added at the end
lit
anyone tell me how the radius of 12 meters relates to the distance traveled?
12 m is the radius of Ferris wheel, so the person travels 12 below the centre of the wheel (at the bottom) and rises to 12 above the centre of the wheel (at the top). If the radius is 12 m, then the amplitude of the sinusoidal graph is also 12.
Soooo helpful!
thank you very much
Thanks. Sorta helped.
In the second example:
y = -cos(x) = y = cos(x)
-cos(x) ≠ cos(x). We were graphing a negative cosine function here, so the graph appears up-side-down compared to the y = cos(x) function.
thank fuck this video exists
@canada9393 AGREEE!!! my teacher can't teach to save her life its horrible.
unreal