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Mathematics 6 Online
OpenStudy (anonymous):

sin(21pi/4)????

OpenStudy (tamara7301):

what r u asking

OpenStudy (anonymous):

simplify, not the exact value though

OpenStudy (tamara7301):

okay what does pi stand for

OpenStudy (tamara7301):

hello???

OpenStudy (anonymous):

the answer is either sin(5pi/4), sin(3pi/4), sin(7pi/4) or sin(pi/4)

OpenStudy (tamara7301):

5 1/4

OpenStudy (anonymous):

pi stands for 180 degrees

OpenStudy (tamara7301):

idk thats what i got let me do it again and if this is a test then do the other questions while i work it out

OpenStudy (anonymous):

ok

OpenStudy (tamara7301):

i think its 3pi/4

OpenStudy (tamara7301):

hello??

OpenStudy (anonymous):

i got sin(5pi/4)

OpenStudy (anonymous):

there are multiple answers. The first thing you want to do is to kind the angle in the same place as 21π/4 on the unit circle by subtract 2π until you get it. That looks like how @Tamara7301 got 5π/4. 5π/4 is in the third quadrant on your unit circle. sin Θ is also negative in the 4th quadrant. The fourth quadrant angle is (2π - π/4) = 7π/4

OpenStudy (tamara7301):

no thats not what i got

OpenStudy (tamara7301):

idk

OpenStudy (tamara7301):

idk i hope i helped if not i am really sorry but i have to go

OpenStudy (anonymous):

thanks for trying

OpenStudy (tamara7301):

welcx

OpenStudy (anonymous):

what quadrant am i trying to get it in?

OpenStudy (tamara7301):

no clue (

OpenStudy (tamara7301):

sorry

OpenStudy (anonymous):

@peachpi?

OpenStudy (tamara7301):

how many more min till the test ends

OpenStudy (anonymous):

theres not a time limit

OpenStudy (anonymous):

If all your question is asking is to find an equal value to sin(21π/4), they're both valid. The question would have to give you some other info to restrict the quadrant otherwise

OpenStudy (tamara7301):

huh??????????????

OpenStudy (anonymous):

it doesnt give me any more info. which answer do you think would most likely be correct?

OpenStudy (anonymous):

go with 5π/4, it's at least in the same quadrant

OpenStudy (anonymous):

i also have the same question for cos and tan

OpenStudy (anonymous):

cos(21pi/4) and tan21pi/4)

OpenStudy (anonymous):

It would be 5π/4 for all of those. It looks like they're trying to get to to realize that 21π/4 and 5π/4 are exactly the same angle. 21π/4 just went around the circle two more times. \[\frac{ 5\pi }{ 4 }+2\pi+2\pi=\frac{ 21\pi }{ 4 }\]

OpenStudy (anonymous):

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OpenStudy (anonymous):

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