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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Domain
Forum Index -> Differential Calculus like the article? email it to a friend.  
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nasa_hs (25)

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Find the domain y=cos-1(1-lxl) /2
    
pinnacle (223)

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x= {-1} ?

I Tried So Hard And Got So Far
But In The End
It Doesnt Even Matter...
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sboosy (3011)

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y=\sqrt{\cos^{-1}(\frac{1-|x|}{2})} \\ \\ -1\leq\frac{1-|x|}{2}\leq1 \\ \\ 1-|x|\geq-2 \ \Rightarrow |x|\leq3 \\ \\ \Rightarrow -3\leq x \leq3 \\ \\ |x|\geq -1 \ \mbox{is always true} \\ \\ \mbox{Thus} \ -3 \leq x \leq 3
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spideyunlimited (3083)

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Find the domain y= root [ cos-1(1-lxl) /2]


First cos-1(1-lxl) /2 >= 0 as it is under root

cos-1(1-lxl) >= 0

0 >= 1 - |x| >= 1

|x| E [0, 1]

x E [-1, 1]



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spideyunlimited (3083)

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ummmmmm.....CONFUSION

is denominator 2 inside the arc cos enclosure? or is the denominator for the whole thing?


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nasa_hs (25)

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2 is inside cos-1
n ans given is [-3 3]
not sure with it though
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spideyunlimited (3083)

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well then sboosy is perfectly correct :)


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RyuAmakusa (461)

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spidery u need not have the condition cos-1(1-lxl) /2 >= 0
bcos cos inverse lise beetween 0 to pi any way. so the condition is only for the part inside the cos inverse as sboosy has done.
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spideyunlimited (3083)

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no harm done anyway :)


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spideyunlimited (3083)

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the thing is , i took 2 as the denominator to the whole thing


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