Between -180 and 180 degrees (convert a larger angle)

In summary, the conversation is about finding a formula to put an angle within the range of -180 and 180, and recycling it if it is not in that range. The formula suggested is to use the modulo function with a value of 360. Adding ## \pi ## to the formula will result in an angle within the specified range.
  • #1
Philosophaie
462
0
I need a formula to put an angle between -180 and 180 and recycle if not in the range.

I can do it between 0 and 360:

angle = deg - 360 * floor(deg / 360)

just not between -180 and 180

Oh and what is the name of this function?
 
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  • #2
Take what you have and subtract 180.

Unless I'm not understanding what you're asking.
 
  • #3
Philosophaie said:
I need a formula to put an angle between -180 and 180 and recycle if not in the range.

I can do it between 0 and 360:

angle = deg - 360 * floor(deg / 360)

just not between -180 and 180

Oh and what is the name of this function?
Function is modulo (mod). What you are asking for is mod 360.
 
  • #4
EDIT Just add ## \pi ## to your formula and you will hit an angle in that interval. The interval [-180,180] is the translation of [0,360] by ##- \pi ##
 
Last edited:

What does it mean for an angle to be between -180 and 180 degrees?

An angle between -180 and 180 degrees refers to the measurement of an angle in degrees where the value falls between -180 and 180 on a standard coordinate plane. This means that the angle is neither greater than 180 degrees nor less than -180 degrees.

How do I convert an angle larger than 180 degrees to be between -180 and 180 degrees?

To convert an angle larger than 180 degrees to be between -180 and 180 degrees, you can use the modulo operator (%) to find the remainder when dividing by 360. If the remainder is greater than 180, simply subtract 360 from the angle to get the equivalent angle between -180 and 180 degrees.

Can an angle be both negative and larger than 180 degrees?

No, an angle cannot be both negative and larger than 180 degrees. The range of angles between -180 and 180 degrees includes both positive and negative values, but an angle cannot be both at the same time.

What is the purpose of having angles between -180 and 180 degrees?

The range of angles between -180 and 180 degrees is commonly used in mathematics and science to represent angles on a standard coordinate plane. This range allows for the measurement of angles in all directions, making it a useful and versatile representation.

Are there any other ways to represent angles larger than 180 degrees?

Yes, angles larger than 180 degrees can also be represented in radians, which is another unit of measurement for angles. One radian is approximately equal to 57.3 degrees, so an angle of 360 degrees would be equivalent to 2π radians. This allows for a more precise measurement of larger angles.

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