Hi all!
I came across this specific expression while doing a riddle: arcsin(sin^2 x). Can this be simplified to something more elegant (without using any inverse trig functions)?
I realize arcsin(sin x) = x + 2k(pi), but I'm not sure how to go about more complicated expressions such as this one. In general, are there strategies to go about simplifying expressions like sin(cos(sin(cos x)))?
Thank you
I came across this specific expression while doing a riddle: arcsin(sin^2 x). Can this be simplified to something more elegant (without using any inverse trig functions)?
I realize arcsin(sin x) = x + 2k(pi), but I'm not sure how to go about more complicated expressions such as this one. In general, are there strategies to go about simplifying expressions like sin(cos(sin(cos x)))?
Thank you