### →∡d

#### Synopsis

Mark a number as an angle in degrees / minutes / seconds

#### Description

The `→∡d`

command turns a scalar into an angle measured in degrees / minutes / seconds.

The angle is entered / displayed as a real number in the format **DD.MMSSxxx…** where:

**DD**expresses the number of degrees;**MM**expresses the number of minutes of arc and ranges from`00`

to`59`

;**SS**expresses the number of seconds of arc and ranges from`00`

to`59`

;**xxx…**expresses the remaining fraction of seconds of arc.

When a scalar is converted to an angle in degrees / minutes / seconds no check is performed to ensure that the digits at **MM** and **SS** positions range from `00`

to `59`

. However addition of `0`

(or multiplication by `1`

) will return a properly *normalized* angle.

#### Compatibility

`→∡d`

is specific to **newRPL** and has no direct equivalent in **userRPL**.

#### Usage

To see how normalization works, let's enter an “incorrect” angle; for example $30° 75^{\prime} 10^{\prime\prime}$:

*Input*

4: 3: 2: 1: 30.751 ………………………………………………………………………………………………………… →∡d

*Output*

4: 3: 2: 1: ∡30.751d …………………………………………………………………………………………………………

To trigger normalization of $30° 75^{\prime} 10^{\prime\prime}$ it's sufficient to multiply it by `1`

:

*Input*

4: 3: 2: 1: ∡30.751d ………………………………………………………………………………………………………… 1 *

*Output*

4: 3: 2: 1: ∡31.151.d …………………………………………………………………………………………………………

The normalized angle is $31° 15^{\prime} 10^{\prime\prime}$.

#### Related Commands

Command | Short Description | |
---|---|---|

→∡° | Mark a number as an angle in degrees | NEW |

→∡r | Mark a number as an angle in radians | NEW |

→∡g | Mark a number as an angle in grads (gons) | NEW |

→∡d | Mark a number as an angle in DMS (DD.MMSS) | NEW |

A→∡° | Convert an angle to degrees | NEW |

A→∡r | Convert an angle to radians | NEW |

A→∡g | Convert an angle to grads (gons) | NEW |

A→∡d | Convert an angle to DMS (DD.MMSS) | NEW |

→RECT | Convert vector or complex to cartesian coordinates | NEW |

→POLAR | Convert vector or complex to polar coordinates | NEW |

→SPHER | Convert vector or complex to spherical coordinates | NEW |