Question about Texas Instruments TI-89 Calculator

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When I attempt to use hyperbolic functions for complex numbers i get a domain error

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  • kakima Apr 07, 2011

    Make sure you have the calculator set to one of the complex modes. I tried a bunch of stuff and couldn't get a domain error. Could you give an example, and the keystrokes you're using?

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Have you checked the calculator's manual to see if the calculator is able (natively) to handle functions of a complex argument. It is able to handle simple algebra with complex numbers, powers, roots, solving a polynomial equation.
For this calculator, the hyperbolic functions must have a real argument otherwise you get a error. But just to make sure, try the exponential function with i (imaginary unit) as argument. If it comes back with a domain error you have your answer.

Posted on Apr 10, 2011

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1 Answer

What is wrong with my calculator? invNorm Error:Domain


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"Undefined" as answer to an inverse sine calculation


I suspect that you are confusing things a bit.
The inverse sine, called the arcsine is a function defined in the closed interval [-1,1]. And so is the inverse cosine. Any value outside this interval will give you a non-real result (meaning a complex one).
There are no limitations on the domain of definition of the inverse hyperbolic sine or sinh^-1
If your input value is allowed to be complex, the arcsine function gives a complex value. See the screen capture

ced983c4-63c8-431d-8104-3d4d5a3200e1.png

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1 Answer

Hyperbolic trig


You cannot use the two words in the same sentence. To use the hyperbolic functions, press the HYP key. The display will show you what follows.
1: hyperbolic sine, 2: hyperbolic cosine, 3: hyperbolic tangent, and their inverses.
To calculate the hyperbolic cosine of the number 27/3, press 1 in the first screen capture, you get cosh(. Complete the expression and press=

7f03493a-a744-4afe-bf6f-2eb2158f6cf9.png 720e5022-2149-464e-b55f-a2d90407578d.png

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1 Answer

How do you fix a "DOMAIN ERROR" ?


It depends on the function. The domain is the set of values that are permitted as input to the function. For the square root for example you cannot calculate square root of a negative number. If you type in sqrt(-3) you get a domain error.

If you are calculating inverse trigonometric functions such as arc sine and arc cosine the argument of the function must be in the closed interval [-1,1].

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1 Answer

I am trying to enter a exp to an complex number and am getting a domain error. How do I clear it up


Domain error occurs if you using polar form of complex numbers in Degree or Gradian angle units.
You have to set up Radian mode and then input complex value. See captured images


3_20_2012_7_14_55_pm.jpg



3_20_2012_7_15_17_pm.jpg

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1 Answer

I am trying to enter a exp to an complex number and am getting a domain error. How do I clear it up


At first, you can enter a complex number in r*exp(i*theta ) form. This is exponential form of complex number. However, use this form in Radian angle mode only. It causes a Domain error in Degree or Gradian angle mode. To resolving this problem type Mode then F1 and set up Radian mode

Jan 23, 2012 | Texas Instruments TI-89 Calculator

1 Answer

I'm trying to do sin-1 7/2 but it keeps saying math error.


That is correct: there is an error in your request. The range of the sine function spans the closed interval [-1, 1]. Thus the domain of the inverse sine function (the arc-sine) is the interval [-1,1]. However you are asking the calculator to calculate outside of the domain (7/2=3.5). If you are using the hyperbolic sine sinh, that is another matter.

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What is d use of hyp function??


The hyp key is used with the cos, sin, and tan keys to compute the hyperbolic cosine, hyperbolic sine, and hyperbolic tangent functions (and their inverses).

The hyperbolic functions are computed the same way as the trignometric functions: simply press the hyp key just before pressing the desired trig key.

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