Explain how to find the reference angle for 1,406°.

Question

Mathematics

Emiliano Haas

2 September, 20:34

Explain how to find the reference angle for 1,406°.

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Giovanny Francis · Answer 1

Go counterclockwise around the origin of a coordinate plane 3 full rotations, which would add up to 1,080 degrees. That leaves you with 1406-1080 degrees unaccounted for, which is 326 degrees. Head around the origin again in the counterclockwise direction 326 degrees, which is 360-326 degrees short of a full rotation (34 degrees). So the reference angle is either - 34 degrees or 326 degrees.