Gobe Productive User's Guide - Trigonometric Functions

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# Trigonometric Functions

ACOS | ATAN | COSH | SIN
ACOSH | ATAN2 | DEGREES | SINH
ASIN | ATANH | PI | TAN
ASINH | COS | RADIANS | TANH

Trigonometric functions perform common trig calculations and conversions. Note that most functions expect input in radians, not degrees or gradians.

## ACOS

> Returns the angle value in radians for the given cosine. The result is expressed in radians between and 0.

> ### Syntax

> ACOS( number )

> ### Arguments

> number | Cosine value or reference.

> ### Example

> ACOS( .5 ) ACOS ( E4 )

## ACOSH

> Returns the hyperbolic angle in radians for the given cosine.

> ### Syntax

> ACOSH( number )

> ### Arguments

> number | Hyperbolic cosine value or reference. Must be greater than or equal to 1.

> ### Example

> ACOSH( .5 )

## ASIN

> Returns the angle value in radians for the given sine. The result is expressed in radians between -/2 and /2.

> ### Syntax

> ASIN( number )

> ### Arguments

> number | Sine value or reference.

> ### Example

> ASIN( .5 ) ASIN ( E4 )

## ASINH

> Returns the hyperbolic angle in radians for the given sine.

> ### Syntax

> ASINH( number )

> ### Arguments

> number | Hyperbolic sine value or reference. Must be greater than 1.

> ### Example

> ASINH( .5 )

## ATAN

> Returns the angle value in radians for the given tangent. The result is expressed in radians between -/2 and /2.

> ### Syntax

> ATAN( number )

> ### Arguments

> number | Tangent value or reference.

> ### Example

> ATAN( .5 ) ATAN ( E4 )

## ATAN2

> Returns the arctangent for the given coordinates. The arctangent is the angle in radians between the lines drawn from {0,0} to {x-value, 0} and from {0, 0} to {x-value, y-value}. The result is expressed in radians between - and (but not including -).

> ### Syntax

> ATAN2( x-value, y-value)

> ### Arguments

> x-value | X axis coordinate.
> y-value | Y axis coordinate.

> ### Example

> ATAN2( 2, 1 ) = 0.46364761 (about 26.5 degrees)

## ATANH

> Returns the hyperbolic angle in radians for the given tangent.

> ### Syntax

> ATANH( number )

> ### Arguments

> number | Hyperbolic tangent value or reference. This value must be between -1 and 1 (excluding -1 and 1).

> ### Example

> ATANH( .5 )

## COS

> Returns the approximate cosine value for an angle expressed in radians.

> ### Syntax

> COS( number )

> ### Arguments

> number | Angle value or reference.

> ### Example

> COS( .5 ) = 0.8775825618904

## COSH

> Returns the hyperbolic cosine for the given value.

> ### Syntax

> COSH( number )

> ### Arguments

> number | Angle value or reference.

> ### Example

> COSH( .5 )

## DEGREES

> Converts the given angle in radians to degrees.

> ### Syntax

> DEGREES( expression )

> ### Arguments

> expression | Angle or reference in radians.

> ### Example

> DEGREES( PI() ) = 180

## PI

> Returns the value of .

> ### Syntax

> PI()

> ### Arguments

> none

> ### Example

> PI() = 3.14159265

## RADIANS

> Converts the given angle in degrees to radians.

> ### Syntax

> RADIANS( expression )

> ### Arguments

> expression | Angle or reference in degrees.

> ### Example

> RADIANS( 180 ) = (3.14159265)

## SIN

> Returns the approximate sine value for an angle expressed in radians.

> ### Syntax

> SIN( number )

> ### Arguments

> number | Angle value or reference.

> ### Example

> SIN( .5 ) = 0.4794255386042

## SINH

> Returns the hyperbolic sine for the given value.

> ### Syntax

> SINH( number )

> ### Arguments

> number | Angle value or reference.

> ### Example

> SINH( .5 )

## TAN

> Returns the approximate tangent value for an angle expressed in radians.

> ### Syntax

> TAN( number )

> ### Arguments

> number | Angle value or reference.

> ### Example

> TAN( .5 ) = 0.5463024898438

## TANH

> Returns the hyperbolic tangent for the given value.

> ### Syntax

> TANH( number )

> ### Arguments

> number | Angle value or reference.

> ### Example

> TANH( .5 )

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