Root of any degree Root(n, x)

Notation:
Root(n, x), where
n – redicand
x – index
x, n – any numbers or expressions.
For an even root, the redicand cannot be negative.

Examples:
Cubic root of fraction 2/5
Root(2/5, 3)

Other examples
Root(1.5, 3)
Root((3*5), 3/2)
Root(1.5, 3/7)

Exponentiation Pow(n, x)

Notation:
Pow(n, x), where
n – base
x – exponent or power
x, n – any numbers or expressions.

Examples:
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)

Notation:
Log(n, x), where
n – the number whose logarithm you want to find
x – base.
x > 0, x ≠ 1, n > 0

Examples:
Log5 34 (logarithm of 34 to base 5), should be written as
Log(34, 5)

Natural logarithm Ln(n)
The base is equal to Euler's number e
(e = 2.7182818284...)

Notation:
Ln(n), where
n > 0<

Examples:
Ln(7)

Common logarithm Lg(n)
The logarithm base 10

Notation:
Lg(n), where
n > 0

Examples:
Lg(1.6)

Binary logarithm Lb(n)
The logarithm base 2

Notation:
Lb(n), where
n > 0

Examples:
Lb(3/6)

Greatest common divisor Gcd(n, m)

Notation:
Gcd(n, m), where
n, m – non-negative integers

Examples:
Gcd(12; 16) should be written as
Gcd(12, 16)

Least common multiple Lcm(n, m)

Notation:
Lcm(n, m), where
n, m – non-negative integers

Examples:
Lcm(4; 23) should be written as
Lcm (4, 23)

Trigonometric functions
All trigonometric functions take one or two arguments. If the function takes one argument, then the number is considered to be in radians.

Sine of an angle Sin(x)

Notation:
Sin(x)
Sin(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Sine π/3 radians
Sin(π/3) or Sin(π/3, Rad)

Sine 60° degrees
Sin(60, Deg)

Cosine of an angle Cos(x)

Notation:
Cos(x)
Cos(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Cosine π/3 radians
Cos(π/3) or Cos(π/3, Rad)

Cosine 60° degrees
Cos(60, Deg)

Tangent of an angle Tan(x)

Notation:
Tan(x)
Tan(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Tangent π/3 radians
Tan(π/3) or Tan(π/3, Rad)

Tangent 60° degrees
Tan(60, Deg)

Cotangent of an angle Cot(x)

Notation:
Cot(x)
Cot(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Cotangent π/3 radians
Cot(π/3) or Cot(π/3, Rad)

Cotangent 60° degrees
Cot(60, Deg)

Secant of an angle Sec(x)

Notation:
Sec(x)
Sec(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Secant π/3 radians
Sec(π/3) or Sec(π/3, Rad)

Secant 60° degrees
Sec(60, Deg)

Cosecant of an angle Csc(x)

Notation:
Csc(x)
Csc(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Cosecant π/3 radians
Csc(π/3) or Csc(π/3, Rad)

Cosecant 60° degrees
Csc(60, Deg)

Inverse trigonometric functions
All inverse trigonometric functions take one or two arguments. If the function takes one argument, then the function will return the solution in radians.

Arcsine Asin(x)

Notation:
Asin(x)
Asin(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Arcsine 1/3 (get the solution in radians)
Asin(1/3) or Asin(1/3, Rad)

Arcsine 1/3 (get the solution in degrees)
Asin(1/3, Deg)

Arccosine Acos(x)

Notation:
Acos(x)
Acos(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Arccosine 1/3 (get the solution in radians)
Acos(1/3) or Acos(1/3, Rad)

Arccosine 1/3 (get the solution in degrees)
Acos(1/3, Deg)

Arctangent Atan(x)

Notation:
Atan(x)
Atan(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Arctangent 1/3 (get the solution in radians)
Atan(1/3) or Atan(1/3, Rad)

Arctangent 1/3 (get the solution in degrees)
Atan(1/3, Deg)

Arccotangent Acot(x)

Notation:
Acot(x)
Acot(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Arccotangent 1/3 (get the solution in radians)
Acot(1/3) or Acot(1/3, Rad)

Arccotangent 1/3 (get the solution in degrees)
Acot(1/3, Deg)

Arcsecant Asec(x)

Notation:
Asec(x)
Asec(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Arcsecant 1/3 (get the solution in radians)
Asec(1/3) or Asec(1/3, Rad)

Arcsecant 1/3 (get the solution in degrees)
Asec(1/3, Deg)

Arcsecant Acsc(x)

Notation:
Acsc(x)
Acsc(x, measure)
Where
x – number
measure – can take values Rad or Deg

Examples:
Arcsecant 1/3 (get the solution in radians)
Acsc(1/3) or Acsc(1/3, Rad)

Arcsecant 1/3 (get the solution in degrees)
Acsc(1/3, Deg)

Expressions containing multiple embedding of functions and mathematical operations
Any expression can contain other expressions, the limit on the length of an expression is 100 characters.

Examples:
Root(Pow(3, 6), 2);
(5/2-4)*34/5-(Root(3, 2))
(12-123+5)/(12.45*(34/6))
Sin(60, Deg)+Cos(45, Deg)
etc.

Gravitational Force Calculator

The law of universal gravitation. Gravity calculator.

The force of attraction between any two objects m₁ and m₂ is directly proportional to the product of the masses of these objects and is inversely proportional to the square of the distance between them.

The gravitational constant G is numerically equal to the force of gravitational attraction between two objects, the mass of each object is 1 kg, located at a distance of 1 meter from each other.
G = 6.67 × 10^-11 N × m² / kg²
The SI unit of forces - Newton (N)

Mass m1 =
Mass m2 =
Distance r =
The SI unit of force F

Distance Calculator Between Two Objects

The law of universal gravitation. Distance.

According to the law of universal gravitation, the distance between two objects is equal to the square root of the quotient, in which the numerator is the gravitational constant G and the product of the masses of the objects, and the denominator is expressed by the force of attraction between these points.

The gravitational constant G is numerically equal to the force of gravitational attraction between two objects, the mass of each object is 1 kg, located at a distance of 1 meter from each other.
G = 6.67 × 10^-11 N × m² / kg²
The SI unit of distance - Meter (m).

Mass m1 =
Mass m2 =
Force F =
The SI unit of distance r

Object Mass Calculator

The law of universal gravitation. The mass of the second object.

According to the law of universal gravitation, the mass m1 of one of the objects between which the force of attraction acts is defined as the ratio of the product of the force and the square of the distance to the product of the gravitational constant and the mass m2 of the second object.

The gravitational constant G is numerically equal to the force of gravitational attraction between two objects, the mass of each object is 1 kg, located at a distance of 1 meter from each other.
G = 6.67 × 10^-11 N × m² / kg²
The SI unit of mass is kilogram, but other units can also be used, such as gram, tonne, milligram, etc.