An angle is given as

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

An angle is given as 2578∘  37′  25′′2578^\circ\;37'\;25''. Determine (i) the number of complete rotations, and (ii) the remaining angle expressed in degrees, minutes and seconds (DMS). Choose the correct option. (a) 88 rotations, 58∘  37′  25′′58^{\circ}\;37'\;25'' (b) 77 rotations, 58∘  37′  25′′58^{\circ}\;37'\;25'' (c) 66 rotations, 298∘  37′  25′′298^{\circ}\;37'\;25'' (d) 77 rotations, 118∘  37′  25′′118^{\circ}\;37'\;25''

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