How do you sketch the angle #285^circ# and find its reference angle?

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How do you sketch the angle #285^circ# and find its reference angle?

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Answer 1 · 2018-05-06T03:28:23

#color(blue)(alpha = 360 - 285 = 75^@ " or " (5pi)/12^c, " in IV Quadrant"##

Explanation:

Find the reference angle for 285 degrees:

Determine the quadrant in which the terminal side lies. A 285-degree angle is between 270 and 360 degrees, so the terminal side is in Q IV
.
Do the operation indicated for that quadrant. Subtract 285 degrees from the angle, which is 360 degrees.

#alpha = 360 - 285 = 75^@ " or " (5pi)/12^c#

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How do you sketch the angle #285^circ# and find its reference angle?

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