Cute one! <span> </span>Summarizing: <span>sec(acot(tan(asin(sin(pi/3)))) .... use asin(sin(x))=x </span>=sec(acot(tan(pi/3))) =sec(acot(sqrt(3))) ......... use acot(x)=atan(1/x) =sec(atan(1/sqrt(3))) =sec(atan(sqrt(3)/3)) .... evaluate atan(sqrt(3)/3), use unit circle =sec(pi/6) =1/cos(pi/6)...... evaluate cos(pi/6), use unit circle =1/(sqrt(3)/2) =2/sqrt(3) .... now rationalize =2sqrt(3)/3
