Questions tagged [simplifying-expressions]

Questions on manipulating complicated expressions and making them look simpler using Simplify, FullSimplify and Reduce.

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Simplify expression with assumption that all variables are real

I have an expression in which all variables are real. However when I simplify the expression with appropriate assumptions a 'Conjugate' still remains. How can I get rid of this? Here is my code ...
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How can I simplify these formulas?

I got these formulas from computation: ...
63 views

How to solve system of equations with complex variables

I'm trying to obtain the solution to the following system of 3 equations and 4 variables: ...
119 views

How can we obtain the imaginary part of a too complicated expression with Mathematica?

I would like to obtain the imaginary part of a long expression. All the parameters in the expression are real. Moreover, X and Y are positive. I have used ComplexExpand and tried to simplify the ...
2k views

Why doesn't Mathematica know the exact value of some trivial trigonometric functions?

The trigonometric functions for half angles have well-defined and simple rules. For example $$\tan\left(\frac x2\right)=\frac{\sin x}{1+\cos x}=\frac1{\csc x+\cot x}$$ But I can't get the exact value ...
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How to use an option of FullSimplify on Mathematica or something similar

I solved an equation and now I have this solution but I want to have everything more simple or at least just on Arc or Log! but I can't make them more simple! ...
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problem in returning relations with unified format

first of all I didn't know what could be the proper title for this question, you may edit it if you find better, thanks. I am making some relations dynamically, relations will return based on two type ...
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FullSimplify gives a wrong expression when simplifying Hypergeometric functions: f = Hypergeometric2F1[1/2 - n, -n, 1 - 2 n, -4 a]; g = FullSimplify[f]; The ...
61 views

Avoid Hyperbolic functions during FullSimplify

I am working with a particularly complicated set of equations in continuum mechanics that I have found solutions for analytically. I am now using Mathematica to recheck my work, as well as to find ...