Euclid
Tangent Module
A module of precalculated tangent values for faster checking the angles between two vectors. The Cross Product length (=determinant) divided by the Dot Product value gives the tangent of the angle between two vectors. If one of vectors has a zero length, the tangent is NaN
Types
| Type | Description |
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The Unit Of Measure type for the precalculated tangent values. This UoM helps to avoid that degree or radians angle values are used in the parallel or orthogonality tests. The tangent is calculated by (determinant / dot-product) of two vectors. |
Functions and values
| Function or value |
Description
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The inverse or arc tangent (atan) for an angle of 0.01 degrees. This is exactly 0.0001745329269716253, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 0.025 degrees. This is exactly 0.00043633234068908935, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 0.05 degrees. This is exactly 0.0008726648475212713, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 0.1 degrees. This is exactly 0.0017453310241888004, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 0.25 degrees. This is exactly 0.004363350820701567, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 0.5 degrees. This is exactly 0.00872686779075879, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 1 degrees. This is exactly 0.017455064928217585, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 10 degrees. This is exactly 0.17632698070846498, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 100 degrees. This is exactly -5.671281819617711, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 105 degrees. This is exactly -3.7320508075688763, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 110 degrees. This is exactly -2.7474774194546225, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 120 degrees. This is exactly -1.7320508075688783, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 135 degrees. This is exactly -1.0000000000000002, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 15 degrees. This is exactly 0.2679491924311227, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 150 degrees. This is exactly -0.5773502691896257, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 160 degrees. This is exactly -0.36397023426620256, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 165 degrees. This is exactly -0.267949192431123, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 170 degrees. This is exactly -0.1763269807084649, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 175 degrees. This is exactly -0.08748866352592402, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 177.5 degrees. This is exactly -0.043660942908512135, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 179 degrees. This is exactly -0.01745506492821751, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 179.5 degrees. This is exactly -0.008726867790758814, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 179.75 degrees. This is exactly -0.004363350820701418, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 179.95 degrees. This is exactly -0.0008726648475213393, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 179.975 degrees. This is exactly -0.0004363323406891847, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 179.99 degrees. This is exactly -0.0001745329269717369, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 179.9 degrees. This is exactly -0.0017453310241888143, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 2.5 degrees. This is exactly 0.04366094290851206, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 20 degrees. This is exactly 0.36397023426620234, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 30 degrees. This is exactly 0.5773502691896257, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 45 degrees. This is exactly 1.0, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 5 degrees. This is exactly 0.08748866352592401, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 60 degrees. This is exactly 1.7320508075688767, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 70 degrees. This is exactly 2.7474774194546216, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 75 degrees. This is exactly 3.7320508075688776, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 80 degrees. This is exactly 5.671281819617707, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 85 degrees. This is exactly 11.430052302761348, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 87.5 degrees. This is exactly 22.903765548431192, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 89 degrees. This is exactly 57.289961630759144, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 89.5 degrees. This is exactly 114.58865012931011, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 89.75 degrees. This is exactly 229.1816636094393, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 89.95 degrees. This is exactly 1145.915299373414, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 89.975 degrees. This is exactly 2291.8310350790075, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 89.99 degrees. This is exactly 5729.577893128937, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 89.9 degrees. This is exactly 572.9572133543032, calculated by determinant / dot-product
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The inverse or arc tangent (atan) for an angle of 90.01 degrees. This is exactly -5729.577893125667, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 90.025 degrees. This is exactly -2291.8310350784845, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 90.05 degrees. This is exactly -1145.9152993735747, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 90.1 degrees. This is exactly -572.9572133543435, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 90.25 degrees. This is exactly -229.18166360944574, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 90.5 degrees. This is exactly -114.5886501293088, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 91 degrees. This is exactly -57.28996163075955, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 92.5 degrees. This is exactly -22.903765548431256, calculated by (determinant / dot-product)
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The inverse or arc tangent (atan) for an angle of 95 degrees. This is exactly -11.430052302761336, calculated by (determinant / dot-product)
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Full Usage:
Tangent.inDegrees t
Parameters:
float<MeasureProduct<tangent, MeasureOne>>
Returns: float
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