# 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: ...
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### 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: ...
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### 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 ...
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### 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 ...
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### 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 ...