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Mathematics 16 Online
OpenStudy (anonymous):

Range question

OpenStudy (anonymous):

Where is the function?

OpenStudy (anonymous):

tan(pi[x^2 - x] / 1 +sin(cos(x)) wher [.] is greatest integer function

OpenStudy (anonymous):

\[\tan(\pi \left[x ^{2}-x \right])\div 1+\sin(cosx)\]

OpenStudy (anonymous):

\[\left[ . \right]\] is greatest integer function!

OpenStudy (ash2326):

\[\tan(\pi \left[x ^{2}-x \right])+\sin(\cos x)\] First term will always result in \(\tan (n\ \pi)\) n=is an integer so it'll be zero DO you get this?

OpenStudy (anonymous):

wait.. i think u wrote the quest rong.. numerator is tan(pi[x^2-x]) denominator is 1 + sin(cosx)

OpenStudy (ash2326):

Ok, Let's do again

OpenStudy (ash2326):

\[\frac {\tan(\pi \left[x ^{2}-x \right])}{1+\sin(\cos x)}\]

OpenStudy (anonymous):

yupp..

OpenStudy (ash2326):

Tell me what's tan n*pi

OpenStudy (anonymous):

0

OpenStudy (ash2326):

numerator will always be zero since \[[x^2-x]\longrightarrow \ integer\]

OpenStudy (anonymous):

okk..

OpenStudy (anonymous):

so the numerator always becomes zero

OpenStudy (ash2326):

Yeah, so what's the range?

OpenStudy (anonymous):

just 0?

OpenStudy (ash2326):

Yeah:)

OpenStudy (anonymous):

but the options to the question are : a) \[\left( -\infty,\infty \right) - [0, \tan1]\] b) \[\left( -\infty,\infty \right) - [\tan2,0]\] c) [tan 2, tan1] d) \[\left( -\infty,\infty \right)\]

OpenStudy (anonymous):

third option is open interval 0 by the way

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