Answer :
In order to solve the given expression, one must set the calculator up in Radians. Then:
[tex]\begin{gathered} \cos \mleft(36\times log(82\times ln(54,569\times cos(\frac{1}{5,693}\mright)))=\cos (36\times log(82\times ln(54,569\times cos(0.1756))) \\ =\cos (36\times log(82\times ln(54,569\times0.9846))=\cos (36\times log(82\times ln(53.7293)) \\ =\cos (36\times log(82\times3.9840))=\cos (36\times log(326.6846))=\cos (36\times2.5141) \\ =\cos (90.5086)=-0.8267 \end{gathered}[/tex]Therefore the final result is -0.8267.