Consider this equation:
sin(sin(sin(sin(x))) = cos(cos(cos(cos(x)))
where x is a real number considered in radians.
Does there exist at least one solution to the given equation?
- If so, provide all possible solutions to the given equation.
- If not, prove, with valid reasoning that there does not exist any solution to the given equation.
(In reply to
computer solution by Charlie)
This sentence links to a polar form of the graph.
Getting the radian markings took some research:
theta = linspace(0,2*pi);
rho = sin(sin(sin(sin(theta))));
rho2= cos(cos(cos(cos(theta))))
figure
polarplot(theta,rho)
hold on;
polarplot(theta,rho2)
title('Niested sin & cos')
pax=gca
thetaticks(0:45:315)
pax = gca;
pax.ThetaAxisUnits = 'radians';
Edited on June 6, 2023, 7:10 am
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Posted by Charlie
on 2023-06-05 14:15:23 |
re: computer solution
