The cot() Command

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Command Summary

Takes the cotangent of a number (usually, an angle).

Command Syntax

cot(angle)

Menu Location

• Press 2nd MATH to enter the MATH popup menu.
• Press A to enter the Trig submenu.
• Press 6 to select cot(.

Calculator Compatibility

This command requires a calculator with AMS version 2.07 or higher (it will also work on any TI-89 Titanium or Voyage 200 calculator)

Token Size

1 byte

The cot() command returns the cotangent (the reciprocal of the tangent) of an angle measure. Naturally, the result depends on the angle mode the calculator is in: radian, degree, or (in AMS version 3.10) gradian. You can also use one of the ^r, °, ^G marks to specify an angle mode.

The cot() command, along with 11 other trig and hyperbolic functions, was added with AMS version 2.07. It can be easily replaced on earlier versions with 1/tan(x), which is what it simplifies to anyway.

For many common angles, cot() can compute an exact result. Other angles, the calculator will leave alone unless it's in approximate mode (or unless you make it approximate), and then it will give a decimal approximation. As long as the calculator is in radian mode, cot() can be used with complex numbers as well.

:cot(60°)
           √3/3
:cot(x)
          1/tan(x)
:cot(0)
          undef

If cot() is applied to a list, it will take the cotangent of every element in the list. However, it can't be applied to matrices the way cos() can (this is probably an oversight; all the trig and hyperbolic functions that were present in all AMS versions work with matrices, but the ones added in version 2.07 do not).

Error Conditions

260 - Domain error happens when taking cot() of a complex number in degree or gradian mode.

Related Commands

• sec()
• csc()
• cotֿ¹()