Solving sin(x)^sin(x)=2
479K views · Dec 6, 2021 · Education
Comments · 699
@blackpenredpen · 4 years ago · pinned
What do you think about my "e-hoodie"?
687
@johndoe9659 · 4 years ago (edited)
Numerical approximations are, to a mathematician, what frozen ready meals are to a decent chef.
1.6K
@HungNguyen-rj3ek · 4 years ago
It's actually okay to have an irrational number that cannot be explained in known functions and constants. <br>To solve this equation, just make up a new function like Larmbert W for it.
1.7K
@gld67k · 4 years ago (edited)
My teacher always said "When you got a difficulty with algebra, use calculus to prove the sum"<br><br>"When you got a difficulty with calculus, use algebra to prove the sum"<br><br>"When both don't work, use trigonometry and get over it"
776
@gabequinn9796 · 4 years ago
How to make a homemade chain rule equation:<br>1. Preheat the oven to 400° <br>2. Gather all of your constants together, slowly mix with your variable(s) <br>3. Wrap this mix in parentheses, top off with a variable exponent or natural log<br>4. Bake for 45 min <br>5. Let stand for 5-10 min and serve <br><br>Servings: 24 calculus students
746
@wesleydeng71 · 4 years ago (edited)
Well, in the spirit of W Lambert function, let's define a Q function such that Q(x) is the solution of sin(t)^con(t) = x. Then obviously, the solution of the equation is Q(2).
685
@yoav613 · 4 years ago
If you write in wolfram x^-sqrt(1-x^2)=2 you get the numeric sol x=0.4584 so x=arcsin(0.4584)=2.6653+2npi
431
@kelpyg3718 · 11 months ago
<a href="https://www.youtube.com/watch?v=Tf0jetLbFX4&t=438">7:18</a> the inside of the logarithm can be simplified because it has the exact form of cosh^-1(x) <br><br>so it will be:<br><br>x = pi/2 - icosh^-1(e^w(ln2))
54
@hotlatte1222 · 4 years ago
It is easy. I can solve it. I have a proof of my theorem, but there is not enough space in this margin.
33
@darkxify · 9 months ago
If anyone was wondering, when i put the sinx^cosx into desmos regression, I get x=2.66536 (radians), which seems to be approximately right.
9
@wiseSYW · 4 years ago
you'll need to define a new function like lambert W, I guess<br><br>using google, putting in (sin x) ^ (cos x) and moving the mouse at the graph, you'll get x = 2.666... when y is about 2.0003...
58
@srideviganesh441 · 4 years ago
What about trying to put cos(x) as sin(pi/2 - x) or sin(pi/2 + x)
8
Up next
Math for fun, sin(z)=2
blackpenredpen · 1.9M views
Solving a special exponential equation a^x+bx+c=0 (this is NOT a quadratic equation)
blackpenredpen · 181K views
4 horsemen of integral disaster!
bprp calculus basics · 158K views
Math for fun, sin(sin(z))=1
blackpenredpen · 188K views
Investigating Why Can't We Solve Every Equation
Perhaps Barksley and Bub Explains · 36K views
Exponential equations but they get increasingly more difficult
bprp math basics · 49K views
Nobody Explained Maxwell's Equations Like THIS!
Animated Physics · 532K views
Claude Took On the Riemann Hypothesis. Here’s What Actually Happened
Ellie Sleightholm · 496K views
√7 is missing – and it took 2000 years to find the real reason why
Mathinity · 444K views
5 Levels Of “No Answer" (when should we use what?)
blackpenredpen · 463K views
Crowd Goes WILD as Hikaru TRAPS Magnus Carlsen’s Queen
GM CHESS LESSONS · 106K views
Why Everything is Going Wrong for Saudi Arabia
RealLifeLore · 490K views
EXTREME quintic equation! (very tiring)
blackpenredpen · 738K views
How (and why) to raise e to the power of a matrix | DE6
3Blue1Brown · 3.6M views
The rest of the world does names differently.
RobWords · 1.2M views
so you want a VERY HARD math question?!
blackpenredpen · 1.1M views
It's Over: Bonds COLLAPSE to WORST Levels Since 2002 - Netherlands BANS Microsoft
House of El · 244K views
a quaternion version of Euler's formula
Michael Penn · 111K views
Lambert W Function
Prime Newtons · 897K views
Nobody Explained the Schrödinger Equation Like THIS!
Animated Math and Simply Math · 314K views