## How do you simplify SymPy expressions?

To simplify expressions using trigonometric identities, use trigsimp() .

- >>> trigsimp(sin(x)**2 + cos(x)**2)
- >>> trigsimp(sin(x)**4 – 2*cos(x)**2*sin(x)**2 + cos(x)**4)
- >>> trigsimp(sin(x)*tan(x)/sec(x))

### Does SymPy have pi?

>>> cos(pi) # cos and pi are a built-in sympy names.

#### What is SymPy library in Python?

SymPy is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python.

**How do you solve for a variable in the SymPy?**

To solve the two equations for the two variables x and y , we’ll use SymPy’s solve() function. The solve() function takes two arguments, a tuple of the equations (eq1, eq2) and a tuple of the variables to solve for (x, y) . The SymPy solution object is a Python dictionary.

**How do you do the E in SymPy?**

Note that by default in SymPy the base of the natural logarithm is E (capital E ). That is, exp(x) is the same as E**x . You should be using exp to represent exponents as opposed to the letter e .

## Does SymPy have e?

### What is piecewise in SymPy?

SymPy has support for piecewise functions built in, using Piecewise . We can test to be sure the function works correctly by plugging in a few values and ensuring the correct values result. Here we’re using the method from how to substitute a value for a symbolic variable.

#### What is SymPy good for?

SymPy performs symbolic mathematical manipulations using Python. Like others of its kind, it can solve algebraic and differential equations, simplify expressions, apply trigonometric identities, differentiate, and integrate; SymPy knows things about sets, manifolds, tensors, and many other mathematical objects.

**Is SymPy any good?**

I think SymPy already flourishes in its space: it’s a great tool for users who need some computer algebra functionality with the ability to glue that together with other code (thanks to Python). It’s fine as long as you don’t need high efficiency or specialized functionality.

**What does SymPy solve do?**

SymPy’s solve() function can be used to solve an equation with two solutions. When an equation has two solutions, SymPy’s solve() function outputs a list.

## How do you solve quadratic equations by SymPy?

So in order to solve for quadratic equations, we must import from the sympy module Symbol and solve. x is the most common variable in mathematics, so we use x as the variable for our quadratic equation. We then create a variable, expression, which we set equal to a quadratic equation.

### How does the simplify () function work?

Nonetheless, especially for interactive use, or when you don’t know anything about the structure of the expression, simplify () tries to apply intelligent heuristics to make the input expression “simpler”. For example: Note that we could have obtained the same result by using specific simplification functions:

#### How do you rationalize the denominator in radsimp?

Rationalize the denominator by removing square roots. The expression returned from radsimp must be used with caution since if the denominator contains symbols, it will be possible to make substitutions that violate the assumptions of the simplification process: that for a denominator matching a + b*sqrt (c), a != +/-b*sqrt (c).

**How does the gammasimp algorithm work?**

The algorithm works by rewriting all combinatorial functions as gamma functions and applying gammasimp () except simplification steps that may make an integer argument non-integer. See docstring of gammasimp for more information.

**How to avoid using doit () when using simplify ()?**

Note that simplify () automatically calls doit () on the final expression. You can avoid this behavior by passing doit=False as an argument. Also, it should be noted that simplifying the boolian expression is not well defined.