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Mathematics 16 Online
OpenStudy (anonymous):

what is the reference angle of 4? not four degrees just 4.

jimthompson5910 (jim_thompson5910):

4 radians?

OpenStudy (anonymous):

i'm not sure. maybe.

jimthompson5910 (jim_thompson5910):

well if you aren't sure, then idk because I'd have to see the book to see what they want

OpenStudy (anonymous):

it says Below, express θ′ in the same units (degrees or radians) as θ. The reference angle of 4 is ___________

jimthompson5910 (jim_thompson5910):

I'm guessing there's a picture?

OpenStudy (anonymous):

nope

jimthompson5910 (jim_thompson5910):

hmm then idk what they want. If it's just 4 degrees, then the answer is 4 degrees because you're in Q1

jimthompson5910 (jim_thompson5910):

4 radians, you have to multiply by 180/pi to convert to degrees

OpenStudy (anonymous):

this is the exact question if you want to take a look

OpenStudy (anonymous):

my the red answer was incorrect

jimthompson5910 (jim_thompson5910):

how did you get that 49 answer

OpenStudy (anonymous):

this is probably a completely wrong approach but i multiplied 4 by 180/pi becuase that's how you convert radians to degrees and then subtracted that answer from 180. It was just a guess.

OpenStudy (anonymous):

*because

jimthompson5910 (jim_thompson5910):

that seems to work if 4 refers to 4 radians

jimthompson5910 (jim_thompson5910):

why not try to plug in the formula in terms of pi

jimthompson5910 (jim_thompson5910):

in other words, instead of type the approximation, type in the expression in terms of pi right before you got that approximation

OpenStudy (anonymous):

do you mean like 720pi - 180? it says that's wrong too :(

jimthompson5910 (jim_thompson5910):

ok, do NOT convert to degrees then find the reference angle in terms of radians

jimthompson5910 (jim_thompson5910):

leave the answer in terms of pi

jimthompson5910 (jim_thompson5910):

|dw:1416532728426:dw|

jimthompson5910 (jim_thompson5910):

|dw:1416532736696:dw|

jimthompson5910 (jim_thompson5910):

4 radians is in Q3 because 4 radians is approximately 229 degrees (between 180 degrees and 270 degrees)

jimthompson5910 (jim_thompson5910):

|dw:1416532783438:dw|

OpenStudy (anonymous):

so if 4 radians is equal to pi/45 i would subtract that from pi?

OpenStudy (anonymous):

ugh it says that that's wrong too

jimthompson5910 (jim_thompson5910):

no you're overthinking

jimthompson5910 (jim_thompson5910):

think of how to find the reference angle in degree mode (in Q3)

jimthompson5910 (jim_thompson5910):

apply that idea to radian mode

jimthompson5910 (jim_thompson5910):

|dw:1416533070667:dw|

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