Question about Texas Instruments TI-84 Plus Calculator

# Calculus cos^-1 Domain Error

I'm a calculus student trying to get around a domain error. I understand cos^-1 general domain is -1

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If you're in the MATHPRINT mode, press
2ND [COS^-1] ( 8 - 3 2ND [sqrt] 2 1 right-arrow ) / 2 5 ENTER

If you're in the CLASSIC mode, press
2ND [COS^-1] ( 8 - 3 2ND [sqrt] 2 1 ) ) / 2 5 ENTER

Posted on Apr 27, 2013

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Posted on Jan 02, 2017

Domain errror meaning that an argument must be in a specified domain.
It's not clearly what do you want to do but for three possible options solutions are on the captured images below(for radian mode).

Posted on Feb 23, 2013

SOURCE: error message

DelVar x

Posted on Sep 14, 2009

SOURCE: "Err: Domain"

I think you may find arcsin(x) is equivalent in older nomenclature to sin^-1 (x)...ie use the "2nd" and the SIN key instead of typing arcsin.
eg. arcsin(0.5) is 30 degrees is the same as sin^-1(0.5)
The ^-1 does not mean reciprocal, but "the angle whose sin is." Here the minus one indicates a kind of inverse operation. The word arcsin indicates that same inverse.

Posted on Mar 05, 2010

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## Related Questions:

### When ever i press sin^-1, and type in a number, the answer is always "domain error" on my ti 30x iis, how can I fix this problem?

Not quite true. (Explanation at the end)
The sine and cosine of an angle have values in the closed interval [-1,1]. That means whatever the value of the angle, its sine or its cosine cannot be less than -1 or greater than 1.
When you consider the inverse problem where you want to find the angle whose sine or cosine is known, you must take the values of the sine or cosine in the interval [-1,1]. That is the domain of the functions arc sine and arc cosine. So if you take a value outside the domain [-1,1], and want to calculate the angle to which it belongs, the calculator signals that there a domain error, because there is no angle that answers the question. Limit the arguments of the sin^-1 and cos^-1 to values in [-1,1]
For the inverses of arc tangent and arc cotangent functions there is no domain limitation because the range of tangent and cotangent is the whole real line ]-infinity, +infinity[.

Mar 30, 2014 | Office Equipment & Supplies

### Inverse sine function

The arccosine function is defined for arguments in the range from -1 to +1. 50/30 is greater than 1 and thus is out of the domain.

Feb 06, 2014 | Texas Instruments TI 30XIIS Scientific...

### Trigonometry, my calculator says domain error when I press; cos-1(26^2+14^2-32^2/2*26*14) I change it into degree, but it doesn't help.. Can anybody tell me why it doesn't give me the exact an

Domain errror meaning that an argument must be in a specified domain.
It's not clearly what do you want to do but for three possible options solutions are on the captured images below(for radian mode).

Feb 23, 2013 | Texas Instruments TI-89 Calculator

### How to find inv cos with ti-84 plus

Make sure the argument is between negative one and positive one, inclusive. The inverse cosine is defined only for arguments in that domain, anything else will give you a domain error.

Oct 26, 2011 | Texas Instruments TI-84 Plus Calculator

### I want to be come mart in mathematics Specialy computation problems......pls teach me by online tutorials free....

You didn't say which part of mathematics you want to study or what is you previous knowledge.

For algebra see these courses:

On The Open University you can find even more courses and on this site you can find links to a lot of online resources for algebra (lessons, tutorials, games, problems...).

For calculus I recommend:

And if you have questions or you don't understand something you can ask here.

I hope I helped you :)

Sep 09, 2011 | Office Equipment & Supplies

### Cos -1

Is there a question? Why so secretive, spill it out.
To access the arc cosine (cos^-1) press 2nd COS and enter the argument. Make sure you are within range, because the domain of arc cosine is from -1 to +1. Any value outside of this closed interval will warrant a DOMAIN ERROR.

May 29, 2011 | Texas Instruments TI-83 Plus Calculator

### I try to install software on a ti-89 and the dimension error when I open the program. Faso also commonly when derived from sin (x) the result is not cos (x) more so, 0.017 cos (x)

I do not know the program you installed, so I will skip the part.
As to the derivative of the sine function, your result is correct if the angle unit is degree.
d(sin(x))/dx = cos(x) is true only if the angle unit is the radian. In degrees, you would have a factor Pi/180 which is 0.174532925. I suggest you consult a calculus book to understand where that factor comes from.

Mar 17, 2011 | Texas Instruments TI-89 Calculator

### I tried to type in 2nd cos(3180.04) but it just says err. What do i do to fix this?

You are indeed committing an error. The sequence [2nd][COS] is activating the function arcosine or arccos or cos^-1, the inverse of the cosine function. If you remember the properties of the cosine functions, you know that cos(x) is defined over the real line ]- infinity to infinity[, but its range spans the interval [-1,1].
Since the arcosine function is the inverse of the cosine, its domain of definition is the range of the cosine, namely the closed interval [-1,1].

Thus if you enter [2nd][COS][3180.04] the calculator flags this as a domain error, because 3180.04 is outside the interval [-1,1]

Restrict the argument of cos^-1 to any value inside the closed interval [-1,1].
When manipulating the trigonometric functions and their inverses you must keep in mind that the results you get are dependent on the angle unit your calculator is configured for (deg, rad).

Jun 29, 2010 | Texas Instruments TI-84 Plus Calculator

### My ti30x will not do cos-1 when i type it in i get domain error

The cosine function takes its value on the whole real line, the angle domain spans ]-infinity, + infinity[. The range of the function is however limited to the [-1, +1] interval.
Thus if you want to calculate the arc (angle) from the value of the cosine, the cosine must be in the interval [-1, +1]. Any value outside this domain will give you a domain error.
Check that the values you feed to the arc cosine function are in the interval [-1,+1].

If the angle unit is the degree the value returned bay [cos^-1] is in degrees, and if the angle unit is the radian, the value returned is in radians

Mar 04, 2010 | Texas Instruments TI-89 Calculator

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