The angle between 0 degree and 360 degrees that is coterminal with the 1547 degrees angle is ___ degrees.

Question

Marianna Terry

Mathematics

13 November, 10:54

The angle between 0 degree and 360 degrees that is coterminal with the 1547 degrees angle is ___ degrees.

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Answers (1)

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Stephen Nichols · Answer 1

First, determine how many complete revolutions (360 degrees) divide into 1547 degrees: 1547/360 = 4.297. Then (0.297) (360 degrees) is coterminal with 1547 degrees: 106.92 degrees, or, after rounding up, 107 degrees.

If you'd like to check this, find sin 1547 degrees and sin 107 degrees. The two results should be identical.