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Cos^-1(sin 220).
I read it as arccos(sin(220°)). <<<---=== I added the symbol ° (degrees)
Then arccos(sin(220°)) = arccos(-sin(180°-40°) = arccos(-sin(140°)) = arccos(cos(90°+40°)) = arccos(cos(130°)) = 130°.
ANSWER. Cos^-1(sin (220°) = arccos(sin(220°)) = 130°.