Calculate an expression
Introduction
This expression calculator is a versatile tool that allows you to develop, simplify, and calculate a variety of mathematical expressions, including numbers, fractions, trigonometric, logarithmic, exponential functions, and much more.
Types of Expressions and Accepted Entities
The calculator handles the following types of expressions:
- Basic arithmetic operations (+, -, *, /)
- Power calculations and square roots
- Trigonometric and hyperbolic functions
- Logarithmic and exponential functions
- Expressions involving constants (pi, e)
Usage Guide
To use the calculator, enter your expression in the provided field. Use the appropriate symbols and formats for operations and functions.
Note: for multiplication, enter a*b and not ab.
Details of Functions and Operators
The following functions and operators are supported:
- Arithmetic operators: + (addition), - (subtraction), * (multiplication), / (division), ^ (power). Use a*b for multiplication rather than a.b or ab.
- Constants: pi (approximately 3.14), e (approximately 2.72). Examples: f(x) = pi * x or f(x) = e * (x+1+2*e)^2.
- Common functions: sqrt(x) (square root), exp(x) (exponential function), log(x) or ln (natural logarithm).
- Trigonometric functions: sin (sine), cos (cosine), tan (tangent), cot (cotangent), sec (secant), csc (cosecant).
- Inverse trigonometric functions: arcsin (arcsine), arccos (arccosine), arctan (arctangent), arccot (arcotangent), arcsec (arcsecant), arccsc (arccosecant).
- Hyperbolic functions: sinh (hyperbolic sine), cosh (hyperbolic cosine), tanh (hyperbolic tangent), coth (hyperbolic cotangent), sech (hyperbolic secant), csch (hyperbolic cosecant).
- Inverse hyperbolic functions: asinh (inverse hyperbolic sine), acosh (inverse hyperbolic cosine), atanh (inverse hyperbolic tangent), acoth (inverse hyperbolic cotangent), asech (inverse hyperbolic secant), acsch (inverse hyperbolic cosecant).
Practical Examples
Here are some examples of using the calculator:
- Simple calculations: 898 + 767, 67676 - 7676
- Operations with fractions: 1/2 + 1/7 - 11/768787
- Trigonometric functions: cos(123), 2*tan(878)
- Logarithms and exponential functions: ln(6565), e^(x+1)
- Polynomial expressions: (x-6)^6, x^2 + 2x*y + y^2
- Using constants: pi * r^2 (calculation of a circle's area), e^(pi * i) + 1 = 0 (Euler's identity)
- Hyperbolic functions: sinh(x), cosh(x), tanh(x)
- Combination of functions: exp(x) * sin(y) + sqrt(x^2 + y^2)
FAQ
Answers to the most frequent questions.
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How do I enter an expression with trigonometric functions?
Use the names of the functions followed by the argument in parentheses. For example: sin(x), cos(x), tan(x).
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Is it possible to calculate expressions with constants like pi and e?
Yes, the calculator recognizes the constants 'pi' and 'e'. You can use them directly in your expressions.
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How do I use powers and square roots?
Use the '^' symbol for powers, for example x^2 for x squared, and 'sqrt(x)' for the square root of x.
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What should I do if I receive an error in my calculation?
Check that you have used the correct format and appropriate symbols. If the problem persists, contact technical support.
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Can the calculator handle complex expressions?
Yes, it can process complex expressions, but make sure to enter them correctly following standard mathematical conventions.
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Does the calculator handle large numbers and large fractions?
Yes, the calculator is designed to efficiently handle large numbers and complex fractions, ensuring accurate results even with extensive numerical values.
See also
Factor an Expression
Mathematics Calculators