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amsterdam11
 3 years ago
Could someone please help me with sqrt(3) tan2x=0
amsterdam11
 3 years ago
Could someone please help me with sqrt(3) tan2x=0

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lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3what do you want to do with it?

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3\[\sqrt 3 \tan (2x) = 0\] first step divide both sides by \(\sqrt{3}\) what do you get?

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1so tan2x=1/sqrt(3)

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3nope. \[\tan (2x) =\frac {0}{\sqrt3}\] now simplify this

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1oh dear! sorry i didnt realise! The question is sqrt(3) tan2x+1=0

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3haha..then you're right \[\tan(2x) =\frac{1}{\sqrt 3}\]

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3now second step. take the arctangent of both sides

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3remember that negative sign...and it's not yet over

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1how does the negative affect it?

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3well it doesnt affect that much

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3dw:1342705038280:dw

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1oh ok so when you say take the arctangent, where do you go from there?

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3so \[2x = \frac{\pi}{6}\] now you divide both sides by 2

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1is this one of the answers?

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1well there are 4 values for x right?

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1because there was a 2 between the tan and the x, which compresses the tan graph

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3i cant remember that part...is it adding \(\pi\) or \(2\pi\)

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3what do you mean 2 between tan and x..tan (2x)?

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1yeah, thats what i meant tan2x

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3im not sure about this part so im gonna ask @amistre64 for some assistance. please come sir.

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1Thank you for your help so far!!

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1what does amistre64 say?

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3i dont think he's coming yet...i tried tagging him to come here...

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3let me call a different one..he might be afk

vamgadu
 3 years ago
Best ResponseYou've already chosen the best response.1just add pi to the solution and it wont matter.

vamgadu
 3 years ago
Best ResponseYou've already chosen the best response.1yep i do think its another answer.

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3thanks @vamgadu you saved me there heh

vamgadu
 3 years ago
Best ResponseYou've already chosen the best response.1its my pleasure @lgbasallote

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1however, in the back of my text book the answers are 5pi/12 11pi/12 17pi/12 and 23pi/12

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1and im wondering how my magic maths textbook got there

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1so we are going good with the 11pi/12 :D

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1and if pi is added again, we get 23pi/12 which is also good!

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3you're doing right. so is there a further problem?

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1well there are sposed to be 4 answers

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.3then you add pi again

vamgadu
 3 years ago
Best ResponseYou've already chosen the best response.1subtract a pi, if want int he interval, [2pi,2pi]

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1well i have 11pi/12 and 23pi/12

lgbasallote
 3 years ago
Best ResponseYou've already chosen the best response.311pi/12  pi is pi/12 (bringing you back to the orig thingy)

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1thats not one of the answers :?

phi
 3 years ago
Best ResponseYou've already chosen the best response.0You started with 2x= pi/6 if we call 2x theta, we have 2 solutions: dw:1342706814544:dw and x is 5pi/12 and 11pi/12 now add pi to each value to get the other 2 solutions or , noting that 2x+pi divided by 2 is x+pi/2 , add multiplies of pi/2 to get all four solutions starting with pi/12 (which is 11pi/12 in the interval [0, 2pi] )

amsterdam11
 3 years ago
Best ResponseYou've already chosen the best response.1can this be done on a tan graph?
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