Range question
Where is the function?
tan(pi[x^2 - x] / 1 +sin(cos(x)) wher [.] is greatest integer function
\[\tan(\pi \left[x ^{2}-x \right])\div 1+\sin(cosx)\]
\[\left[ . \right]\] is greatest integer function!
\[\tan(\pi \left[x ^{2}-x \right])+\sin(\cos x)\] First term will always result in \(\tan (n\ \pi)\) n=is an integer so it'll be zero DO you get this?
wait.. i think u wrote the quest rong.. numerator is tan(pi[x^2-x]) denominator is 1 + sin(cosx)
Ok, Let's do again
\[\frac {\tan(\pi \left[x ^{2}-x \right])}{1+\sin(\cos x)}\]
yupp..
Tell me what's tan n*pi
0
numerator will always be zero since \[[x^2-x]\longrightarrow \ integer\]
okk..
so the numerator always becomes zero
Yeah, so what's the range?
just 0?
Yeah:)
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) \[\left( -\infty,\infty \right)\]
third option is open interval 0 by the way
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