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Mathematics 12 Online
OpenStudy (anonymous):

Can you check my answer on a cosine problem? (attached)

OpenStudy (anonymous):

http://puu.sh/7PcgM.jpg

OpenStudy (anonymous):

There's the problem, and I think the answer for part a is 345 degrees, is that right?

OpenStudy (anonymous):

Yes, it is. If you draw out a unit circle, or otherwise examine it, cos(x) = cos(-x). So cos(15) = cos(-15) or rather cos(360-15).

OpenStudy (anonymous):

Awesome, thanks! Do you think you could help me with part b of that one? I don't know where to start.

OpenStudy (anonymous):

In the unit circle, what is an angle that is equivalent to either 15 or 345 degrees, but is greater than 360?

OpenStudy (anonymous):

this site is big xD

OpenStudy (anonymous):

irrelevancy at its finest

OpenStudy (anonymous):

I'm really not sure..

OpenStudy (anonymous):

|dw:1396165850380:dw|

OpenStudy (anonymous):

I'm very confused. xD

OpenStudy (anonymous):

Any angle that intersects a unit circle like I drew at the same point (x,y) I put on there with have the same value for cosine(and sine for that matter). Keep in mind that 0 and 360 degrees are exactly the same.

OpenStudy (anonymous):

I don't understand how an angle can be bigger than 360

OpenStudy (anonymous):

I mean, would it jsut be 375?

OpenStudy (anonymous):

An angle can be as big as it can. It can even be negative. One way to think about it is turning around a full turn plus some more. Like this:|dw:1396166662301:dw| And yes, 375 is an answer, as is 345+360

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