Mathematics
14 Online
OpenStudy (anonymous):
Find all solutions to the equation.
7 sin2x - 14 sin x + 2 = -5
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OpenStudy (gorv):
add 5 on each side n tell what u got??
OpenStudy (anonymous):
if you add 5 then its 7sin2x-14sinx+2=0??
OpenStudy (gorv):
on both side
OpenStudy (gorv):
on left side also
OpenStudy (anonymous):
i meant to put a 7 instead of a 2
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OpenStudy (anonymous):
7sin2x-14sinx+7=0?
OpenStudy (gorv):
now take out 7 from each term
OpenStudy (anonymous):
sin2x-2sinx+1 ?
OpenStudy (gorv):
yeah u see some thing now ??
OpenStudy (gorv):
(sinx)^2-2*1*sinx+1^2?? ring a bell ??
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OpenStudy (anonymous):
no it doesnt im not good at this
OpenStudy (gorv):
(a-b)^2=a^2-2*a*b+b^2 now ....remember it ??
OpenStudy (anonymous):
oh yeah i know that i eaquation so do i just put it like that?
OpenStudy (anonymous):
@gorv
OpenStudy (gorv):
yeah we got in our what on right side ....we need to put it in like left side
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OpenStudy (gorv):
what is similar to a??
OpenStudy (anonymous):
sin2x?
OpenStudy (gorv):
sinx
OpenStudy (gorv):
sin2x is a^2
OpenStudy (gorv):
a=sinx
and b= 1
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OpenStudy (gorv):
(sinx-1)^2=0
OpenStudy (gorv):
which means sinx-1=0
OpenStudy (gorv):
sinx =1
OpenStudy (anonymous):
ok so (sinx-1)^2=sinx^2-2*sinx*1+1^2
OpenStudy (gorv):
yeah
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OpenStudy (anonymous):
@gorv
OpenStudy (anonymous):
so then what do i do?
OpenStudy (gorv):
sinx=1
OpenStudy (gorv):
solution= (2n-1)*pi/2
OpenStudy (gorv):
n=1,2,3,4.................
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OpenStudy (anonymous):
so the answer we would get from that is (2n-1)*pi/2
OpenStudy (anonymous):
@gorv
OpenStudy (gorv):
yeah
OpenStudy (anonymous):
ok Thnaks!
OpenStudy (gorv):
and n=1,2,3,4........and so on