Reduce to an equivalent angle between and and write the result in DMS form.

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Reduce 823.9875∘823.9875^{\circ} to an equivalent angle between 0∘0^{\circ} and 360∘360^{\circ} and write the result in DMS form. (a) 263∘ 59′ 15′′263^{\circ}\,59'\,15'' (b) 104∘ 00′ 15′′104^{\circ}\,00'\,15'' (c) 103∘ 59′ 15′′103^{\circ}\,59'\,15'' (d) 103∘ 59′ 30′′103^{\circ}\,59'\,30''

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