My calculator keeps coming up with the ERROR: DOMAIN window whenever I try to use the sin^-1 key (2nd command sin button). What is going on? I know I have been able to perform this task before using this calc.

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The inverse sine is only defined for values in the range [-1..+1]. Arguments outside this range will produce domain errors.

Posted on Jan 17, 2010

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Posted on Jan 02, 2017

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Does it refuse to do so or does it give an error message?

Three common errors:

Three common errors:

- Not having the correct angle unit.
**Wrong result, No error message** - 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** - 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

The sine and cosine function have a range between [-1, 1]. The domain of their inverse functions is [-1,1]. So 20/1 which is 20 is out of the domain of definition of the functions. No limitations for tangent and cotangent.

Oct 22, 2013 | Casio FX-115ES Scientific Calculator

It seems that you are trying to calculate the inverse sine (arcsine) of 90. However the domain of definition of the arcsine function is the closed interval [-1, 1]. Any value outside of this interval will result in an error.

Apr 20, 2013 | Office Equipment & Supplies

The INV key that you may find on some scientific calculators has, on the TI 83/84/ Plus calculators, an equivalent key marked [2nd].

On the TI83/84 Plus, each trigonometric function has a second marking [SIN^-1], [COS^-1] or [TAN^-1]. To calculate the inverses of trigonometric functions ( arc sine, arc cosine, arc tangent) you press [2nd] followed by the relevant trigonometric function key For example, [2nd] [SIN] displays sin^-1( on the command line.

Unfortunately the hyperbolic functions and their inverses are only accessed through the CATALOG. You press [2nd][0] to open the CATALOG. Then you scroll down the CATALOG list to reach cosh(, cosh^-(, sinh(, sinh^-1(, tanh(, or tanh^-1(.

To speed the search in the catalog, you use the ALPHA keyboard: To reach cosh(, press[PRGM] and you scroll down from there.

On the TI83/84 Plus, each trigonometric function has a second marking [SIN^-1], [COS^-1] or [TAN^-1]. To calculate the inverses of trigonometric functions ( arc sine, arc cosine, arc tangent) you press [2nd] followed by the relevant trigonometric function key For example, [2nd] [SIN] displays sin^-1( on the command line.

Unfortunately the hyperbolic functions and their inverses are only accessed through the CATALOG. You press [2nd][0] to open the CATALOG. Then you scroll down the CATALOG list to reach cosh(, cosh^-(, sinh(, sinh^-1(, tanh(, or tanh^-1(.

To speed the search in the catalog, you use the ALPHA keyboard: To reach cosh(, press[PRGM] and you scroll down from there.

Feb 27, 2012 | Texas Instruments TI-84 Plus Calculator

It is much more enlightning to tell us what you want to do rather than talk about something that does not exist. And one thing that does not mean anything is that ellusive INVERSE key that everyone and his dog is looking for.

The additive inverse of a number a is its opposite (-a). The key to use is the change key (-).

The multiplicative inverse of non-zero number a is its reciprocal 1/a

The inverse of the natural log (LN) function is the EXPONENTIAL function e^(x). On most calculators if one function is accessed diectly (the marking is on the key), its inverse is accessed by pressing [SHIF] (Casio, or [2nd] (TI) or [2ndF] (Sharp).

The inverse of the function raise 10 to a power [10^x] is [LOG]

Similarly, the inverse of the sine function SIN is the arcsine [sin^-1]. To access the latter, it you press [2nd][SIN]. The same is true for arcosine [2nd][COS], and arctangent [2nd][TAN]

The inverse of the square functions [x^2] is the square root function [2nd][x^2]

Inverse of x^3 is cubic root

This is just a quick overview.

The additive inverse of a number a is its opposite (-a). The key to use is the change key (-).

The multiplicative inverse of non-zero number a is its reciprocal 1/a

The inverse of the natural log (LN) function is the EXPONENTIAL function e^(x). On most calculators if one function is accessed diectly (the marking is on the key), its inverse is accessed by pressing [SHIF] (Casio, or [2nd] (TI) or [2ndF] (Sharp).

The inverse of the function raise 10 to a power [10^x] is [LOG]

Similarly, the inverse of the sine function SIN is the arcsine [sin^-1]. To access the latter, it you press [2nd][SIN]. The same is true for arcosine [2nd][COS], and arctangent [2nd][TAN]

The inverse of the square functions [x^2] is the square root function [2nd][x^2]

Inverse of x^3 is cubic root

This is just a quick overview.

Feb 16, 2012 | Texas Instruments TI-84 Plus Silver...

Make sure your calculator is in degree mode.

It is probably in radian mode so it can't calculate the inverse sin.

To change this, go to Mode -> Deg.

Hope this helps, cheers!

It is probably in radian mode so it can't calculate the inverse sin.

To change this, go to Mode -> Deg.

Hope this helps, cheers!

Mar 06, 2011 | Texas Instruments TI-30 XIIS Calculator

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.

Feb 18, 2011 | Casio FX-300MS Calculator

I depends on what you mean by INV.

On some Chinese (AUREX, Staples) calculators the second function key is marked as INV. If that is the key you have in mind, on Casios it is the [SHIFT] key. On Sharps it is marked as [2ndF]

If you have in mind the multiplicative inverse (the reciprocal) then your calculator has such a key and it is marked [x^-1]. It the key represented on the following table at the intersection of the 2nd column and the 9th line (RECIPROCAL)

If you are thinking about the inverse of functions, then know that each function shares the same physical key as its inverse. For example to access the arcsine (the function inverse of sine) you press the [SHIFT] key before [SIN]. On the calculator you will notice that near the [SIN] key and to its left there is [SIN^-1].

On some Chinese (AUREX, Staples) calculators the second function key is marked as INV. If that is the key you have in mind, on Casios it is the [SHIFT] key. On Sharps it is marked as [2ndF]

If you have in mind the multiplicative inverse (the reciprocal) then your calculator has such a key and it is marked [x^-1]. It the key represented on the following table at the intersection of the 2nd column and the 9th line (RECIPROCAL)

If you are thinking about the inverse of functions, then know that each function shares the same physical key as its inverse. For example to access the arcsine (the function inverse of sine) you press the [SHIFT] key before [SIN]. On the calculator you will notice that near the [SIN] key and to its left there is [SIN^-1].

Aug 24, 2010 | Sharp EL-531VB Calculator

You would press on the SIN key, "sin(" should come on the display, then enter the value, for example 3.5 or -1 so that the display shows

sin(3,5) or sin(-1) for example.

remember to close the sin with the ) on the end.

**sin(-1) = -0.841470985**

sin(3,5) or sin(-1) for example.

remember to close the sin with the ) on the end.

Feb 16, 2010 | Texas Instruments TI-30XA Calculator

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.

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.

Mar 23, 2009 | Texas Instruments TI-89 Calculator

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