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  #1  
Old 05-25-2006, 02:03 AM
lightnb lightnb is offline
 
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Default Math Question

IF

Code:
A = 2(TAN(F*F))
How do you re-write the formula to solve for F?
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  #2  
Old 05-25-2006, 02:10 AM
peterska2 peterska2 is offline
 
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so

A = 2(TAN(F Squared)

A = Tan(F squared) + Tan (F squared)

A/Tan = (f squared) + (f squared)

A/Tan = 2(f squared)

A/(2 Tan) = F squared

square root (A/(2 tan)) = F

Could be wrong, coz it's a long while since I last did algebra though.
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  #3  
Old 05-25-2006, 02:30 AM
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Freesteyelz Freesteyelz is offline
 
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*Sigh* I feel so inadequate. :lick:
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Old 05-25-2006, 02:44 AM
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Adrian Schneider Adrian Schneider is offline
 
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F = squareroot(inversetan(a/2);

My work:
Code:
a = 2tan(F*F);
a/2 = tan(F*F);
iTan(a/2) = F*F
2root(iTan(a/2)) = F;
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  #5  
Old 05-25-2006, 10:00 AM
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Xenium Xenium is offline
 
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Me too.. F = SQUAREROOT(INVERSETAN(A/2))

@peterska2. The inverse of TAN is INVERSETAN not divide tan

Code:
A = 2(TAN(F*F))
A = 2(TAN(F^2))
A/2 = TAN(F^2)
INVERSETAN(A/2) = F^2
F = SQUAREROOT(INVERSETAN(a/2))
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  #6  
Old 05-25-2006, 11:08 AM
peterska2 peterska2 is offline
 
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I knew it was probably wrong, but it's a long while since I last did algebra.
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  #7  
Old 05-25-2006, 11:28 AM
lightnb lightnb is offline
 
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Thanks guys

I was never too good at algebra...

is inverse tangent the same as arc tangent?

in other words, would:

PHP Code:
$F SQRT(atan($A/2)); 
be the correct PHP syntax for this?
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  #8  
Old 05-25-2006, 02:13 PM
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Xenium Xenium is offline
 
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Yes. Arc tan is the inverse of tan for php.

But the return is in radians. So if you want it in degrees, you will need to use rad2deg.


E.G.

PHP Code:
$F SQRT(rad2deg(atan($A/2))); 
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  #9  
Old 05-25-2006, 10:32 PM
lightnb lightnb is offline
 
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$A should be in degrees. $f should be a decimal
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  #10  
Old 05-25-2006, 11:21 PM
who is chris c who is chris c is offline
 
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just a fyi you cant divide normal trig fnct (sin, cos, tan) by both sides like normal you need to take the inverse (^-1) to do the equalitive property been awhile but thought i'd throw that in
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