Question about Texas Instruments TI 30XIIS Scientific Calculator

# Cosine cos -1 (10000/50) When I use this function, I get a domain error. How do I fix this?

Posted by Anonymous on

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The arccosine function works for numbers between -1 and +1. 10000/50 is far outside of this domain.

Posted on Apr 16, 2014

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Posted on Jan 02, 2017

SOURCE: Help!!

You need to be in the degree mode. To do this push the mode button on the calculator (mine is located near the directional keys). Go down three rows to where it displays RAD DEG. Move your cursor (which is blinking) to DEG and press enter. This will highlight the DEG mode press your 2nd then CLEAR button to Quit back to the main screen.

Posted on Nov 29, 2007

SOURCE: my ti30x will not do cos-1

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

Posted on Mar 04, 2010

SOURCE: whenever i type in 2nd

The key sequence [2nd] [Cos] calls the function arcosine or cos^-1. However that function takes its values in the range of the cosine function which is the interval [-1,1].
As you can see, your value of 1301.16 is clearly outside the interval [-1,1].

Posted on Dec 15, 2010

SOURCE: I'm trying to do inverse

The inverse sine and cosine equations mean "angle who's sine/cosine is:" The bounds of the arguments for these functions must be between 1 and -1, the maximum and minimum values of the sine and cosine functions, because no angle can have a sine or cosine that is greater than 1 or smaller than -1. Also it should be noted that the inverse sine/cosine function is not the same as 1/sine or 1/cosine, although the symbol makes it look like that.

Posted on Mar 08, 2011

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## Related Questions:

### On my casio fx-83GT PLUS calculator whenever i use the inverse cos,sine and tan function math ERROR comes up how do i fix this

The inverse cosine function is defined for arguments from -1 to +1. 6 is outside of this domain, thus the error. Do you get an error if you try the inverse cosine of 0.6, for example?

If you're getting the same error for the inverse tangent, could you post an example?

May 12, 2014 | Casio FX83ES Scientific Calculator

### 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

### My TI-30XB WONT CALCULATE INVERSE COS OR INVERSE SIN

Does it refuse to do so or does it give an error message?
Three common errors:
1. Not having the correct angle unit. Wrong result, No error message
2. Confusing reciprocal of sine (1/sin(x) with arc sine (x) ,sin^-1(x). Confusing the reciprocal of cosine, 1/cos(x) with arc cosine (cos^-1(x)). Wrong result, No error message
3. Taking the argument of the inverse sine and/or inverse cosine functions outside the interval [-1,1]. This gives a domain error.

Oct 28, 2013 | Texas Instruments TI-81 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

### Why I get domain error

What were you doing when that error occurred? No, i am not asking for your alibi. It helps to narrow down the possibilities. Anyway, I think you might have asked the calculator to calculate a function at a value for which it (the function) is not defined. An example is the arc cosine or arc sine. They are defined on the closed interval [-1,1]. If you ask the calculator to evaluate cos^-1(3.45) you will get a domain error because the argument 3.45 is not within the domain [-1,1] of the arc cosine function.

Jun 07, 2011 | Texas Instruments TI-89 Calculator

### 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

### Whenever i type in 2nd cos(1301.16) and press enter, it tells me that i have a domain error? how can i fix this?

The key sequence [2nd] [Cos] calls the function arcosine or cos^-1. However that function takes its values in the range of the cosine function which is the interval [-1,1].
As you can see, your value of 1301.16 is clearly outside the interval [-1,1].

Dec 15, 2010 | Texas Instruments TI-84 Plus 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

### How to use the cosine,tangent etc functions of calculator fx-82ES plus

Hello,

2. Press the key for the function COS, SIN, or TAN
[COS] displays Cos(

3.Enter the angle 12 deg Screen shows cos(12
Close the right parenthesis ) Screen shows cos(12)
4.Press [=] Screen displays 0.9781

If you want the inverse trigonometric functions you access them with arccos [SHIFT] [COS] (cos^-1)
arcsin [SHIFT][SIN] (sin^-1)
actan [SHIFT][TAN] (tan^-1)

You have to know the principal domain for the inverse trigonometric functions (see any book on trigonometry) to understand the results.
Hope it helps.

Nov 05, 2009 | Casio Office Equipment & Supplies

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