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exprv4:reference:functions:trigonometric

Table of Contents



Trigonometric Functions

Trigonometric functions use radians unless the function name says otherwise.

acos(x)

Returns the arc cosine of `x`.

Argument Type Description
`x` number Input value. Must be between `-1` and `1`.

Returns: angle in radians.

Example: 

rad2deg(acos(0));     // 90

acosh(x)

Returns the inverse hyperbolic cosine of `x`.

Argument Type Description
`x` number Input value. Must be greater than or equal to `1`.

Returns: number.

Example: 

acosh(1);             // 0

asin(x)

Returns the arc sine of `x`.

Argument Type Description
`x` number Input value. Must be between `-1` and `1`.

Returns: angle in radians.

Example: 

rad2deg(asin(1));     // 90

asinh(x)

Returns the inverse hyperbolic sine of `x`.

Argument Type Description
`x` number Input value.

Returns: number.

Example: 

asinh(0);             // 0

atan(x)

Returns the arc tangent of `x`.

Argument Type Description
`x` number Input value.

Returns: angle in radians.

Example: 

rad2deg(atan(1));     // 45

atan2(y, x)

Returns the arc tangent using `y` and `x`.

Argument Type Description
`y` number Y component.
`x` number X component.

Returns: angle in radians.

The pair `0, 0` is undefined and raises an error.

Example: 

rad2deg(atan2(1, 0)); // 90

atanh(x)

Returns the inverse hyperbolic tangent of `x`.

Argument Type Description
`x` number Input value. Must be between `-1` and `1`.

Returns: number.

Example: 

atanh(0);             // 0

cos(x)

Returns the cosine of angle `x`.

Argument Type Description
`x` number Angle in radians.

Returns: number.

Example: 

cos(0);               // 1

cosh(x)

Returns the hyperbolic cosine of `x`.

Argument Type Description
`x` number Input value.

Returns: number.

Example: 

cosh(0);              // 1

cot(x)

Returns the cotangent of angle `x`.

Argument Type Description
`x` number Angle in radians.

Returns: number.

Example: 

cot(deg2rad(45));

csc(x)

Returns the cosecant of angle `x`.

Argument Type Description
`x` number Angle in radians.

Returns: number.

Example: 

csc(deg2rad(90));

deg2rad(degrees)

Converts degrees to radians.

Argument Type Description
`degrees` number Angle in degrees.

Returns: angle in radians.

Example: 

deg2rad(180);         // pi radians

hypot(x, y)

Returns the length of a 2D vector.

Argument Type Description
`x` number X component.
`y` number Y component.

Returns: number.

Example: 

hypot(3, 4);          // 5

pi()

Returns the pi constant.

Argument Type Description
none No arguments.

Returns: number.

Example: 

rad2deg(pi());        // 180

rad2deg(radians)

Converts radians to degrees.

Argument Type Description
`radians` number Angle in radians.

Returns: angle in degrees.

Example: 

rad2deg(pi());        // 180

sec(x)

Returns the secant of angle `x`.

Argument Type Description
`x` number Angle in radians.

Returns: number.

Example: 

sec(0);               // 1

sin(x)

Returns the sine of angle `x`.

Argument Type Description
`x` number Angle in radians.

Returns: number.

Example: 

sin(deg2rad(90));     // 1

sinh(x)

Returns the hyperbolic sine of `x`.

Argument Type Description
`x` number Input value.

Returns: number.

Example: 

sinh(0);              // 0

tan(x)

Returns the tangent of angle `x`.

Argument Type Description
`x` number Angle in radians.

Returns: number.

Example: 

tan(deg2rad(45));     // 1

tanh(x)

Returns the hyperbolic tangent of `x`.

Argument Type Description
`x` number Input value.

Returns: number.

Example: 

tanh(0);              // 0

Previous: Logarithmic and Exponential

Next: Rounding and Centering

exprv4/reference/functions/trigonometric.txt · Last modified: by 127.0.0.1

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