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Home > Education > High School   »   solve sin(2x)=1/2

 
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Old May 6, 2009, 09:46 AM
Hexial
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solve sin(2x)=1/2

i really don't know, can someone help me...

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Old May 6, 2009, 10:08 AM   #2  
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simple algebra:







This will give you the lowest value of x. You need to remember that there are in fact an infinite number of values for x, as the graph at the bopttom of the post shows. Each of my lines shows the positions of solutions to sin(2x) = 1/2 between 0 and 10. Working them out should be fairly trivial.

Let me know if you need more help!
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Old May 6, 2009, 10:37 AM   #3  
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Quote:
Originally Posted by Capuchin View Post
simple algebra:







This will give you the lowest value of x. You need to remember that there are in fact an infinite number of values for x, as the graph at the bopttom of the post shows. Each of my lines shows the positions of solutions to sin(2x) = 1/2 between 0 and 10. Working them out should be fairly trivial.

Let me know if you need more help!
you insane??? you can't multiply or divide with sin!!!

this is the solution

sin(2x)=1/2

{sin(30°)=1/2}

sin(2x)=sin(30°)
2x=30°
x=15°
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Old May 6, 2009, 10:40 AM   #4  
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graphic side is ok, but nul points aren't asigned so i can only assume what are they
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Old May 6, 2009, 10:44 AM   #5  
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Quote:
Originally Posted by Hexial View Post
you insane??? you can't multiply or divide with sin!!!

this is the solution

sin(2x)=1/2

{sin(30°)=1/2}

sin(2x)=sin(30°)
2x=30°
x=15°
Hey, be polite at least! Some people are trying to help, and they may have their own methods. You don't have to criticize other's methods, since you yourself couldn't solve the problem earlier.

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Perito agrees: I agree.
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Old May 6, 2009, 10:57 AM   #6  
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I wasn't dividing by sin, i was using the inverse sin operator on both sides, where . This is perfectly acceptable, and all scientific calculators have this function.

Also, the graph wasn't for you to read off the answer, it was to show you that there are an infinite number of values of 2x. Your answer gives only one of them (and i point out that your solution is the same as mine!).

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Perito agrees: This is absolutely correct.
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Old May 6, 2009, 02:13 PM   #7  
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Originally Posted by Unknown008 View Post
Hey, be polite at least! Some people are trying to help, and they may have their own methods. You don't have to criticize other's methods, since you yourself couldn't solve the problem earlier.
true... my apologies, i bumped into the solution after some time...
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Old May 6, 2009, 02:16 PM   #8  
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Quote:
Originally Posted by Capuchin View Post
I wasn't dividing by sin, i was using the inverse sin operator on both sides, where . This is perfectly acceptable, and all scientific calculators have this function.

Also, the graph wasn't for you to read off the answer, it was to show you that there are an infinite number of values of 2x. Your answer gives only one of them (and i point out that your solution is the same as mine!).
so you're sayin that [ sin(x) / sinx ] = x? don't know man, this is the fist time i see smth like this...
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Old May 6, 2009, 02:17 PM   #9  
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[ sin(x) / sin ] =x

sorry, not used to write sin all alone...
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Old May 6, 2009, 02:46 PM   #10  
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you used the arc function... sin^(-1) = arc



i used the same function in my 3rd step...
both our solutions are correct...

and i would like to apologise to you for callin you insane, sorry ,) ...
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