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COS (math/cos/float)

The COS node calculates the cosine of an angle given in radians. It is a fundamental trigonometric function commonly used in mathematical expressions and graphics programming.

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Inputs

  1. a (float, default: 0): The input angle in radians.

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Outputs

  1. result (float): The cosine of the input angle.

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Configuration

This node has no additional configuration options.

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Usage

To use the COS node:

  1. Connect a float value representing an angle in radians to the a input port.
  2. The node will calculate the cosine of the input angle and output the result via the result output port.
  3. Connect the result output to the desired destination node(s) in your spell.

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Example

Here’s an example of how to use the COS node in a Magick spell:

1. Create a Float node and set its value to `PI / 4` (45 degrees in radians).
2. Connect the Float node's output to the `a` input port of the COS node.
3. Create a Debug Print node and connect the `result` output of the COS node to its input.
4. Run the spell.

The Debug Print node will output the cosine of 45 degrees, which is approximately 0.7071.

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Tips

  • Remember that the input angle must be in radians, not degrees. To convert degrees to radians, multiply the angle in degrees by PI / 180.
  • The cosine function is periodic with a period of 2π radians. This means that cos(a) = cos(a + 2π) for any angle a.
  • The cosine of 0 is always 1, and the cosine of π/2 (90 degrees) is always 0.

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Common Issues

  • Ensure that the input angle is in radians. If the result seems incorrect, double-check that you are not accidentally providing the angle in degrees.
  • Be aware of the floating-point precision limitations in computer arithmetic. For very large or very small angles, the result may not be exact due to rounding errors.