Find the value of xxx such that sin(x)=cos(20∘)\sin(x) = \cos(20^\circ)sin(x)=cos(20∘) for 0<x<90∘0 < x < 90^\circ0<x<90∘.
20∘20^\circ20∘
70∘70^\circ70∘
40∘40^\circ40∘
80∘80^\circ80∘