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Mathematics 15 Online
OpenStudy (anonymous):

Find the length s of the arc of a circle of radius r = 19.73 cm, subtended by a central angle which = 209 degrees

OpenStudy (anonymous):

(209/360)(2pi)(19.73)

OpenStudy (anonymous):

which is 71.97

OpenStudy (anonymous):

can you help me find the exact value of (-690 degrees)

OpenStudy (anonymous):

yes. -690 degrees = -690/180 pi radians which is -23pi/6 radians

OpenStudy (anonymous):

the options i have are a) 1/2 b) -1/2 c) sqrt3/2 d) sqrt2/2 e)-sqrt3/2

OpenStudy (anonymous):

oh. was the question sin(-690 degrees) ?

OpenStudy (anonymous):

oh it was find the exact value of cos (-690 degree)

OpenStudy (anonymous):

ok. -690 degrees is equivalent to 30 degrees. and cos(30) = (sqrt3)/2 so c

OpenStudy (anonymous):

how do we determine what -690 is equivalent to

OpenStudy (anonymous):

you can always add or take away 360 degrees and it stays the same. so I just added 360 to the -690 twice and got to 30

OpenStudy (anonymous):

basically, keep adding 360 (if you are in the negative) or taking away 360 (if positive) until you get to a number between 0 and 360.

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