Can This Complex Mathematical Equation Be Simplified?

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SUMMARY

The equation A = B - sin(degtorad(C)) * sqrt(abs(sqr(D/2) - sqr(sqrt(sqr(E - F) + sqr(B - G))/2))) can be simplified by recognizing that sqr(sqrt(sqrt(sqr(E - F) + sqr(B - G))/2)) simplifies to (sqrt(sqr(E - F) + sqr(B - G))/4). This transformation reduces the complexity of the equation without altering its fundamental properties. The discussion emphasizes the importance of understanding mathematical functions such as degtorad(), abs(), sqr(), and sqrt() for effective simplification.

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Crusty
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Can this be simPlified?:smile:

A = B - sin(degtorad(C)) * sqrt(abs(sqr(D/2) - sqr(sqrt(sqr(E - F) + sqr(B - G))/2)))

A, B, C, D, E, F, G are variables. I don't need to simlify down to a numerical value of a variable just now; I'm just wondering if the equation can be simplified.

Other terms
degtorad() means the amount inside the paranthese is converted from degrees to radians.
radtodeg() converts radians to degrees.
abs() means absolute value
sqr() and sqrt() are square and square root

Thanks
 
Last edited:
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Well, there's the obvious point that
sqr(sqrt(sqrt(sqr(E - F) + sqr(B - G))/2)= (sqrt(sqr(E - F) + sqr(B - G))/4
That is, that
[tex]\frac{\left(\sqrt{(E-F)^2+ \sqrt{B-G}}\right)^2}{2}= \frac{\sqrt{(E-F)^2+ \sqrt{B-G}}}{4}[/tex]
 

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