Mathematics
8 Online
OpenStudy (anonymous):
Find all solutions to the equation.
7 sin2x - 14 sin x + 2 = -5
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OpenStudy (anonymous):
PLEASE HELP
OpenStudy (shamim):
is it sin 2x or sin^2x
OpenStudy (anonymous):
sin^2x
OpenStudy (shamim):
7sin^2x-14sin x+2+5=0
right?
OpenStudy (anonymous):
yes
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OpenStudy (shamim):
7sin^2x-7sin x-7sin x+7=0
OpenStudy (shamim):
do u need any more help?
OpenStudy (anonymous):
how do I get the solutions? do I factor?
OpenStudy (shamim):
ya
OpenStudy (anonymous):
should my answer have pi in it?
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OpenStudy (shamim):
7sinx(sinx-1)-7(sinx-1)=0
OpenStudy (shamim):
π radian=180 degree
OpenStudy (shamim):
u can convert degree to radian
or radian to degree
OpenStudy (anonymous):
im very confused
OpenStudy (shamim):
ok. did u get my last step of ur math
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OpenStudy (anonymous):
yes
OpenStudy (shamim):
(7sinx-7)(sinx-1)=0
OpenStudy (shamim):
7(sinx-1)(sinx-1)=0
OpenStudy (shamim):
(sinx-1)(sinx-1)=0
OpenStudy (anonymous):
when I did that I had another (sinx-1)
7(sinx-1)^3
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OpenStudy (shamim):
now is it clear to u?
OpenStudy (anonymous):
no.. I don't know what to do with the sin x
OpenStudy (shamim):
did u get my last step
OpenStudy (anonymous):
(sinx-1)(sinx-1)=0
OpenStudy (shamim):
sinx-1=0
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OpenStudy (anonymous):
how did you get rid of the other sinx-1
OpenStudy (shamim):
sinx=1
OpenStudy (shamim):
ok
(sinx-1)^2=0
right?
OpenStudy (anonymous):
yes
OpenStudy (shamim):
now i wanna take square root of both side
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OpenStudy (shamim):
sinx-1=0
right?
OpenStudy (anonymous):
ohhh gotcha
OpenStudy (anonymous):
So how do I know that that is the only answer?
OpenStudy (shamim):
sinx=1
sinx=sin 90
x=90
x=π/2
OpenStudy (shamim):
medal?
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OpenStudy (anonymous):
I'm plugging those into my calculator and only 1 is working