Find the cotangent of one angle utilizing the cot calculator below. Begin by start the edge in levels or radians.
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How to find the Cotangent of one Angle
In a appropriate triangle, the cotangent of edge α, or cot(α), is the ratio in between the angle’s adjacent side and its opposite side.
Cotangent is a trigonometric role abbreviated cot. Use the formula below to calculation the cotangent of one angle.
Cotangent Formula
The cotangent formula is:
cot(α) = surrounding bopposite a
Thus, the cotangent of edge α in a ideal triangle is same to the size of the nearby side b separated by the opposite next a.
To settle cot, simply get in the length of the adjacent and the opposite sides, climate solve.
This formula can look very similar to the formula to calculation tangent. That’s because cotangent is the reciprocal of tangent.
Cotangent must not be confused with arctan, i beg your pardon is the inverse that the tangent function. The distinction being the cotangent is equal to 1tan(x), if arctan is the train station of the tangent function.
cot(x) = 1tan(x) = tan(x)-1arctan(y) x whereby y = tan(x)
For example, let’s calculation the cotangent of edge α in a triangle through the length of the adjacent side same to 8 and also the opposite side equal to 4.
cot(α) = 84cot(α) = 21
Cotangent Graph
If girlfriend graph the cotangent function for every possible angle, it forms a collection of repeating curves.
One necessary property to note in the graph above is that the cotangent that an angle is never ever equal to 0 or an even multiple of π radians, or 180°
Cotangent Table
The table listed below shows typical angles and the cot worth for each of them.
| 0° | 0 | undefined |
| 15° | π12 | 2 + √3 |
| 30° | π6 | √3 |
| 45° | π4 | 1 |
| 60° | π3 | 1√3 = √33 |
| 75° | 5π12 | 2 – √3 |
| 90° | π2 | 0 |
| 105° | 7π12 | -2 + √3 |
| 120° | 2π3 | –1√3 = –√33 |
| 135° | 3π4 | -1 |
| 150° | 5π6 | -√3 |
| 165° | 11π12 | -2 – √3 |
| 180° | π | undefined |
| 195° | 13π12 | 2 + √3 |
| 210° | 7π6 | √3 |
| 225° | 5π4 | 1 |
| 240° | 4π3 | 1√3 = √33 |
| 255° | 17π12 | 2 – √3 |
| 270° | 3π2 | 0 |
| 285° | 19π12 | -2 + √3 |
| 300° | 5π3 | –1√3 = –√33 |
| 315° | 7π4 | -1 |
| 330° | 11π6 | |
| 345° | 23π12 | -2 – √3 |
| 360° | 2π | undefined |
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