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# cotd

Cotangent of argument in degrees

## Description

example

Y = cotd(X) returns the cotangent of the elements of X, which are expressed in degrees.

## Examples

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### Cotangent of angles approaching 90 and 180 degrees

Create a vector of input angles consisting of 90° and the next smaller and larger double precision numbers. Then compute the cotangent.

```x1 = [90-eps(90) 90 90+eps(90)];
y1 = cotd(x1)```
```y1 =

1.0e-15 *

0.2480         0   -0.2480```

cotd returns zero when the input angle is exactly 90°. Evaluation at the next smaller double-precision angle returns a slightly positive result. Likewise, the cotangent is slightly negative when the input angle is the next double-precision number larger than 90.

The behavior is similar for input angles near 180°.

```x2 = [180-eps(180) 180 180+eps(180)];
y2 = cotd(x2)```
```y2 =

1.0e+15 *

-2.0159       Inf    2.0159```

### Cotangent of complex angle, specified in degrees

```x = 35+5i;
y = cotd(x)
```
```y =

1.3958 - 0.2606i```

## Input Arguments

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### X — Angle in degreesscalar value | vector | matrix | N-D array

Angle in degrees, specified as a real-valued or complex-valued scalar, vector, matrix, or N-D array. The cotd operation is element-wise when X is nonscalar.

Data Types: single | double
Complex Number Support: Yes

## Output Arguments

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### Y — Cotangent of anglescalar value | vector | matrix | N-D array

Cotangent of angle, returned as a real-valued or complex-valued scalar, vector, matrix, or N-D array of the same size as X.