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OpenStudy (lisa123):
Find all solutions to the equation
2sin theta- srt(3)=0
Write your answer in radians in terms of
π, and use the "or" button as necessary
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OpenStudy (anonymous):
sintheta=sqrt(3)/2
OpenStudy (anonymous):
so theta=sin-1(sqrt(3)/2)
OpenStudy (anonymous):
theta=60 degrees.
OpenStudy (anonymous):
to convert 60 deg to radians, you multiply by pi/180
OpenStudy (anonymous):
no need to convert, ignore degrees entirely
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OpenStudy (anonymous):
\[\sin(\theta)=\frac{\sqrt3}{2}\to \theta=\frac{\pi}{3}\] no degrees where endangered in this process
OpenStudy (anonymous):
lol its good for him to learn how to convert tho..
OpenStudy (anonymous):
course that aint all of them that i just one
there are an infinite number of solutions
OpenStudy (lisa123):
so the solutions are sqrt(3)/2 and pi/3?
OpenStudy (anonymous):
there is another on the other side of the unit circle, across the y axis
that would be \(\frac{2\pi}{3}\)
and then there are more
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OpenStudy (anonymous):
oh no dear
lets to slow
OpenStudy (anonymous):
yesh so it should be (pi/3)+2pi*k or (2pi/3))+2pi*k
OpenStudy (anonymous):
where k is any integer constant
OpenStudy (lisa123):
alright thank you guys so much!
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