Contents:

Expression input examples

Decimal fractions.
Fraction a/b.
Multiplication a*b.

Pi.
Exponential Notation.
Absolute value |x| numbers Abs(x).
Square root sqrt(x).
nth root root(n, x).
Real root real_root(n, x).
Exponentiation n^(x) or pow(n, x).

Logarithm log(n, x).
Natural logarithm ln(n).
Greatest Common Divisor gcd(n, m).
Least common multiple lcm(n, m).

Trigonometric functions.
Sinus sin(x).
Cosine cos(x).
Tangent tan(x).
Cotangent cot(x).
Secant sec(x).
Cosecant csc(x).

Inverse trigonometric functions.
Arcsine asin(x).
Arccosine acos(x).
Arctangent atan(x).
Arccotangent acot(x).
Arcsecant asec(x).
Arccosecant acsc(x).

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Expression input examples

Expression:
$\frac{1}{2}-3.7$
Input:
(1/2) - 3.7

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Expression:
$\frac{1}{5}+\frac{3}{5}$
Input:
(1/5)+(3/5)

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Expression:
$\frac{1}{7}:\frac{4}{9}$
Input:
(1/7)/(4/9)

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Expression:
${2.5}^{-1/3}$
Input:
(2.5)^(-1/3)

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Expression:
${\left(3.7\text{}-2\right)}^{4.2\text{}+6}$
Input:
(3.7 - 2)^(4.2 + 6)

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Expression:
$4^{2^3}$
Input:
4^(2^(3))

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Expression:
$-\sqrt{\frac{1}{6}}+\sqrt{4}$
Input:
-sqrt(1/6)+sqrt(4)

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Expression:
$\sqrt{\frac{5}{9}}+\sqrt{3^{5.3}}$
Input:
sqrt(5/9)+sqrt(3^(5.3))

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Expression:
$\sqrt[3]{2}+\sqrt[4]{2}$
Input:
root(2, 3) + root(2, 4)

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Expression:
${\left(\sqrt{3}\right)}^{\frac{5}{9}}$
Input:
(sqrt(3))^(5/9)

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Expression:
$\sqrt{{\left(-\frac{6}{14}+\frac{1}{2}\right)}^2}$
Input:
sqrt((-(6/13)+(1/2))^2)

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Expression:
$\sqrt{\sqrt{\frac{1}{3}+\frac{1}{7}}}$
Input:
sqrt(sqrt((1/3)+(1/7)))

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Expression:
${\left(\sqrt{5.42}\right)}^{\sqrt{1.2}}$
Input:
(sqrt(5.42))^(sqrt(1.2))

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Expression:
$\mathrm{ab}\hspace{0.17em}·\hspace{0.17em}\mathrm{cd}-a^2$
Input:
a*b * c*d - a^2

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Expression:
${\mathrm{ab}}^2-{\mathrm{cd}}^2$
Input:
(a*b)^2 - (c*d)^2

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Expression:
$2a-3b^2$
Input:
2*a - 3*b^2

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Expression:
$2x^2$
Input:
2*x^2

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Expression:
${\left(a+b\right)}^2$
Input:
(a + b)^2

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Expression:
${\left(ab\right)}^{\frac{1}{3}}-{\left(cd\right)}^{\frac{1}{3}}$
Input:
((a*b)^(1/3))-((c*d)^(1/3))

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Expression:
$\sqrt{{\left(a^2+b^2\right)}^{ab}}$
Input:
sqrt((a^(2)+b^(2))^(a*b))

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Expression:
$xy+6+2y+3x$
Input:
x*y + 6 + 2*y + 3*x

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Expression:
$3.4x^{13}-x^{3}y+6x^{2}y$
Input:
3.4*x^(13) - x^(3)*y +6*x^(2)*y

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Expression:
${\sin }^2\alpha \; +{\cos }^2\alpha$
Input:
sin(α)^2+cos(α)^2

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Expression:
$\cos \left(\frac{7\pi }{2}-\alpha \right)$
Input:
cos(((7*π)/2)-α)

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Expression:
$\sin \left(2\pi +a\right)$
Input:
sin(2*π+a)

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Expression:
$\cos \left(\frac{\pi }{3}\right)+\sin \left(\frac{\pi }{2}\right)$
Input:
cos(pi/3)+sin(pi/2)

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Expression:
$\tan \left(2\pi \right)+\cot \left(\frac{3\pi }{2}\right)$
Input:
tan(2*pi)+cot((3*pi)/2)

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Expression:
$\arccos \left(1\right)+\arcsin \left(\frac{\sqrt{2}}{2}\right)$
Input:
acos(1)+asin(sqrt(2)/2)

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Decimal fractions

Input:
Use a dot to write a decimal

Example:
5.609

Fraction a/b

Input:
Use the sign «/» to enter fractions.

Example:
9/2 or 1/4

Multiplication

Input:
To write the product of numbers, use the sign "*"

Example:
5*4

Pi (π)

Input:
To write the number π, enter "π" or "pi".

Example:
cos(π/2)

Exponential Notation
Example:
13e+5
1.7e-9
7.045e+8

Absolute value or modulus

Input:
Abs(x)

Example:
|x| is written as Abs(x)
|x-2|-|x+2| is written as Abs(x-2)-Abs(x+2)
|x|/|y| is written as Abs(x)/Abs(y)

Square root sqrt(x)

Input:
sqrt(x), where
x – any number or expression.

Example:
Expression:
$-\sqrt{\frac{1}{6}}+\sqrt{4}$
Input:
-sqrt(1/6)+sqrt(4)

Expression:
$\sqrt{\frac{5}{9}}+\sqrt{3^{5.3}}$
Input:
sqrt(5/9)+sqrt(3^(5.3))

nth root root(n, x)

Input:
root(n, x), where
n – radicand
x – index
x, n – any numbers or expressions.

Example:
Expression:
$\sqrt[3]{2}+\sqrt[4]{2}$
Input:
root(2, 3) + root(2, 4)

Real root real_root(n, x)
If you don't need to compute the root value in the complex realm, use the real_root(n, x) function to find real roots.
Input:
real_root(n, x), where
n – radicand
x – index
x, n – any numbers or expressions.

Example:
Expression:
$\sqrt[3]{-2}$
Input:
real_root(-2, 3)

For exponentiation, use the "^" sign or the function pow(n, x)

Example:
5³ is written as 5^(3)
a^bc is written as a^(b*c)
5^sin(x) is written as 5^(sin(x))

Exponentiation pow(n, x)

Input:
pow(n, x), where
n – base
x – exponent
x, n – any numbers or expressions.



Example:
Five to the power of three
pow(5, 3)

Other examples
pow(12.5, 3)
pow((3-5), 3/2)
pow(1.5, sqrt(2))

Logarithm log(n, x)

Input:
log(n, x), where
n – argument
x – base.
x > 0, x ≠ 1, n > 0

Example:
Log₅ 34, write as
log(34, 5)

Natural logarithm ln(n)
The base is equal to the Euler number e
(e = 2.7182818284...)

Input:
ln(n)

Example:
Ln(7)

Greatest Common Divisor gcd(n, m)

Input:
gcd(n, m), where
n, m are non-negative integers


Example:
gcd(12, 16)

Least common multiple lcm(n, m)

Input:
lcm(n, m), where
n, m are non-negative integers


Example:
lcm (4, 23)

Trigonometric functions
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Sinus sin(x)

Input:
sin(x)
Where
x – number, letter or expression

Example:
Sinus π/3
sin(π/3)

Sinus 60° degrees
Sin(60)
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Cosine cos(x)

Input:
Cos(x)
Where
x – number, letter or expression

Example:
Cosine π/3
cos(π/3)

Cosine 60° degrees
cos(60)
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Tangent tan(x)

Input:
tan(x)
tan(x, measure)
Where
x – number, letter or expression

Example:
Tangent π/3
tan(π/3)

Tangent 60° degrees
tan(60)
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Cotangent cot(x)

Input:
Cot(x)
Where
x – number, letter or expression

Example:
Cotangent π/3
cot(π/3)

Cotangent 60° degrees
cot(60)
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Secant sec(x)

Input:
sec(x)
Where
x – number, letter or expression

Example:
Secant π/3
sec(π/3)

Secant 60° degrees
sec(60)
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Cosecant csc(x)

Input:
csc(x)
Where
x – number, letter or expression

Example:
Cosecant π/3
csc(π/3)

Cosecant 60° degrees
csc(60)
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Inverse trigonometric functions
To calculate trigonometric functions in degrees set DEG, in radians RAD.

Arcsine asin(x)

Input:
asin(x)
Where
x – number, letter or expression

Example:
Arcsine 1/3
asin(1/3)


To calculate trigonometric functions in degrees set DEG, in radians RAD.

Arccosine acos(x)

Input:
acos(x)
Where
x – number, letter or expression

Example:
Arccosine 1/3
acos(1/3)


To calculate trigonometric functions in degrees set DEG, in radians RAD.

Arctangent atan(x)

Input:
atan(x)
Where
x – number, letter or expression

Example:
Arctangent 1/3
atan(1/3)


To calculate trigonometric functions in degrees set DEG, in radians RAD.

Arccotangent acot(x)

Input:
acot(x)
Where
x – number, letter or expression

Example:
Arccotangent 1/3
acot(1/3)


To calculate trigonometric functions in degrees set DEG, in radians RAD.

Arcsecant asec(x)

Input:
asec(x)
Where
x – number, letter or expression

Example:
Arcsecant 1/3
asec(1/3)


To calculate trigonometric functions in degrees set DEG, in radians RAD.

Arccosecant acsc(x)

Input:
acsc(x)
Where
x – number, letter or expression

Example:
Arccosecant 1/3
Acsc(1/3)


To calculate trigonometric functions in degrees set DEG, in radians RAD.