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Mathematics 13 Online
OpenStudy (anonymous):

Find the reference angle for 210 degrees.

jimthompson5910 (jim_thompson5910):

where is the angle 210 degrees? in quadrant 1? in quadrant 2? in quadrant 3? in quadrant 4?

OpenStudy (anonymous):

it doesnt say, this is the info find the reference angle for 210 degrees -90 -210 -30

jimthompson5910 (jim_thompson5910):

|dw:1374686435050:dw|

jimthompson5910 (jim_thompson5910):

I want you to point out where you think 210 degrees would point

OpenStudy (anonymous):

|dw:1374686580845:dw|

jimthompson5910 (jim_thompson5910):

so something like this |dw:1374686634305:dw|

jimthompson5910 (jim_thompson5910):

this is in quadrant 3 the rule for finding the reference angle (in this quadrant only) is Reference Angle = x - 180 where x is the given angle

jimthompson5910 (jim_thompson5910):

in this case, x = 210, so Reference Angle = x - 180 Reference Angle = 210 - 180 Reference Angle = 30 degrees

jimthompson5910 (jim_thompson5910):

|dw:1374686701559:dw|

jimthompson5910 (jim_thompson5910):

|dw:1374686726251:dw| notice how 180 + 30 = 210

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