How to simplify an algebraic formula in MatLab? - simplify -- MatLab

[Ans]

simplify command

[Description]

S = simplify(expr) performs algebraic simplification of expr. If expr is a symbolic vector or matrix, this function simplifies each element of expr.

example

S = simplify(expr,Name,Value) performs algebraic simplification of expr using additional options specified by one or more Name,Value pair arguments.

[Syntax]

S = simplify(expr)

S = simplify(expr,Name,Value)

more details on

 Algebraic simplification - MATLAB simplify (mathworks.com)

[Useful Tips]

sin(x)^2+cos(x)^2==1

log(exp(a))==a

[Code]

clear

clc

syms x c alpha beta

%one formula of triangular function

simplify(sin(x)^2 + cos(x)^2) %1

%formula of exponent function

simplify(exp(c*log(sqrt(alpha+beta)))) %(alpha + beta)^(c/2)

simplify(sqrt(x^2)) %sqrt(x^2)

simplify(sqrt(x^2),'IgnoreAnalyticConstraints',true) %x

u = symunit;

simplify(u.m+u.mm) %(1001/1000)*[m]