Hi there,
I'd like to ask for an explanation on finding positive and negative coterminal angles of both degrees and radians. For example, how would I find the two for something such as -230 degrees, or 23(pie)/6? Any helpful explanations will be greatly appreciated. Thanks!
2007-12-16 04:59:22 · 4 answers · asked by Quasar 2 in Science & Mathematics ➔ Mathematics
Angle -230 degrees is coterminal with angle 360 - 230 = 130 degrees. It is also coterminal with the angle -230-360 = -590 degrees. -230 degrees = -230*pi/180 = -23pi/18 radians.
130 degrees = 130pi/180 = 13pi/180 radians.
2007-12-16 05:12:49 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
Positive And Negative Coterminal Angles
2016-09-30 12:38:10 · answer #2 · answered by murarilal 3 · 0⤊ 0⤋
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RE:
Positive/negative coterminal angles?
Hi there,
I'd like to ask for an explanation on finding positive and negative coterminal angles of both degrees and radians. For example, how would I find the two for something such as -230 degrees, or 23(pie)/6? Any helpful explanations will be greatly appreciated. Thanks!
2015-08-10 04:28:46 · answer #3 · answered by Amiee 1 · 0⤊ 0⤋
"Any helpful explanations will be greatly appreciated"
you write pi, not pie
2 pi is a period for radians and its corresponding period for degrees is 2*180=360
so -230 is actually 360 -230 = 130 degrees
It's like 130 degree clockwise is 230 degrees counter clockwise
and 23 pi/6 = 3 pi + 5pi/6 = 11 pi/6 if you see it on the unit circle
I think about this angles in terms of period, i see them modulo 2 pi( 360).
2007-12-16 05:10:24 · answer #4 · answered by Theta40 7 · 1⤊ 0⤋