A Nice Trigonometric System | Collaboration With
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- Опубликовано: 6 окт 2024
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Syper nice solutions Sybermath~~~👍👍👍 Love it haha
Thank you 🤗😍
The solutions of both channels are different in y values one says 2pi()/3 and the second one 5pi()/3
I loved it!!!!❤❤❤❤ I solved it and I am very happy!!!!
I love this
Glad to hear that!
For sin(y-x) =1/2 you have also (y-x) = 5pi/6.
So you have plenty other solutions..
There is not any need for creating an equation system at all.The two angles are complementary each other,so the sine of x equals the cosine of y and vice versa, and we get : (sin x)^2 =1/4 sin x =1/2 x=π/6 and y=π/3,we accept only the positive solutions because it is obvious that both angles lie in the first quadrant
Y=π/3 x=π/6
For 0≤x,y≤π/2
Can you make a video going over all the trig identities? Also including the pie fractions within the first “circle” of sin and cos
I just draw it out quick if I need it. If you remember the circumference is 2*pi*r then remember it's the same for angles. 360 degrees is 2*pi radians. Then it's just slicing a pie. If you sketch it out whenever you need it, after a bunch of times it will be second nature and you might not have to sketch it out as much. But it's totally fine to do it that way unless you're supposed to be a grad student or doctoral candidate.
Squircles!
Awesome!
Thanks!
Thanks!
I'd like to know how Sybermath gets his x, y axes scaled in multiples of pi.
1. open the demos site
2. press the wrench icon in the top right corner, above the '+' symbol
3. underneath the 'add a label' options for the x and y axes, there is an option to 'step' the function. for this, sybermath used a step of pi/6 for both axes
@@leochinchillaa Thanks, much appreciated❕
Nice, but too complicated, imho...
My method would be somewhere between yours and DrPK's:
First add the equations, BUT continue as follows:
since sin(x+y)=1 gives x+y=pi/2 + 2*n*pi, so x=pi/2 - y + 2*n*pi, so sin(x) = cos( y+2*n*pi ) = cos(y)
put into first equation: cos(y)^2 = 1/4
From there, continue like DrPK did, getting this result after 7.5 minutes - sorry.
Pretty good
0.5*0.5=0.25
0.866*0.866=0.75
Can you give hard problems? Your problems are so easy that my third grade brother can do them in his head.