Mathematics
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OpenStudy (anonymous):
Factor the algebraic expression below in terms of a single trigonometric function.
sin 2x + sin x - 2
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OpenStudy (souvik):
is it sin2x or sin^2x?
OpenStudy (anonymous):
sin^2x
OpenStudy (souvik):
let x=sin^2x
so
x^2+x-2.........now factor it..
OpenStudy (anonymous):
should i use the quadratic formula? @souvik
OpenStudy (souvik):
you may do this but u can factor it easily..
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OpenStudy (anonymous):
how?
OpenStudy (souvik):
do u know how to factor?
OpenStudy (anonymous):
yeah
OpenStudy (souvik):
come on! try to o it...
OpenStudy (anonymous):
i know how to use the quadratic formula but if there's an easier way i rather do it that way.
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OpenStudy (souvik):
okay..did u find x?
OpenStudy (anonymous):
how am i suppose to find x?
OpenStudy (anonymous):
ok so doing the quadratic formula i got\[-1+- \sqrt{7}/2\]
OpenStudy (souvik):
\[x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }\]
here a=1 ,b=1 and c=-2
OpenStudy (anonymous):
yeah i did all of that and i got \[-1\pm \sqrt{7}/2\]
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OpenStudy (souvik):
no...4ac=4*1*(-2)=(-8)
so b^2-4ac=1-(-8)=9
OpenStudy (anonymous):
ok so when i do that i get -1 and -2
OpenStudy (anonymous):
i mean positive 1
OpenStudy (souvik):
right..
So sinx=1...as\[-1\le \sin x \le1\]
OpenStudy (anonymous):
so thats the answer ? sinx=1
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OpenStudy (souvik):
sinx=1
or x=90 degree...!
OpenStudy (anonymous):
alright, thanks
OpenStudy (souvik):
welcome..