Hello,

Depends. If you have set [Shift][Mode][4:Rad] result is in radians

[arcsin][1/3] =0.3398 rad

[Shift][Mode][3:Deg]

[arcsin][1/3] =19.4712 degrees.

Hope it helps.

Posted on Sep 12, 2009

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Posted on Jan 02, 2017

I think you answered your own question. You are in degree mode and in your questions, you are using pi, so you should be in radians?

Good luck,

Paul

Good luck,

Paul

Nov 17, 2015 | Office Equipment & Supplies

180 degrees =PI radians

1 degree=PI/180 rad

1 rad =180/Pi

1 degree=PI/180 rad

1 rad =180/Pi

Jul 03, 2014 | Texas Instruments TI-36 X Solar Calculator

When the angle unit is in radians

sin^-1(0.184)=0.1850543940 radians

When angle unit is in degrees

sin^-1(0.185)=10.60283581

Your calculator is calculating the functions correctly)

In the following screen captures the sine of the values is calculated with the unit specified inside the formula (degree symbol and radian symbol are inserted to show you the unit). In the last calculation the value of the sine is practically 0.184

**Remember that when angle is in radians**, for very small angles (less than 10 degrees), **sin(x) and tan (x) are about equal to the value of the angle in radians**

sin^-1(0.184)=0.1850543940 radians

When angle unit is in degrees

sin^-1(0.185)=10.60283581

Your calculator is calculating the functions correctly)

In the following screen captures the sine of the values is calculated with the unit specified inside the formula (degree symbol and radian symbol are inserted to show you the unit). In the last calculation the value of the sine is practically 0.184

Mar 25, 2014 | Casio FX-115ES Scientific Calculator

If you are trying to calculate arcsine (sin^-1) and arccosine (cos^-1) the only whole number you can use are -1,0 and 1. **This due to the fact that the domain of these functions is the closed interval [-1,1]. **Any value outside that interval will trigger an error message. No limitation on the argument of the arc tangent or arc cotangent functions

If the angle unit is set to degree the arc will be in degrees, and if angle unit is radian, the arc will be in radians.

If the angle unit is set to degree the arc will be in degrees, and if angle unit is radian, the arc will be in radians.

Sep 27, 2011 | Texas Instruments TI-84 Plus Calculator

Is your Ti83 plus in degree mode. You can change to radians by pressing the MODE key, and sliding down 2 more positions, and press the ENTER key. Because you got this error your principle value for x and y should be examined. Generally you really should be in radian mode when working with arcsin (aka. sin^-1), and arccos. You probably weren't using arctan because, you would have never gotten this error message due to the fact it goes on forever. And this way your answers for y= arcsin(x), or arccos(x) will be on the x axis, and domains at 0, pi/2, and pi.

You can work in degree mode but, if the number you place in the brackets of your arc sin or arc cos function is larger than 1 or smaller than -1 you will get a ERR:DOMAIN. Using the arctan or (aka. inverse tan) function in the degree mode can be used for computing endless waves, or as an angles that are usually in brackets of cosine or sine. Example: cos(arctan(Beta). This functions that y to never be greater than 1 or, less than 0. Example: sin(arctan(angle). This functions that y to never be less than -1 or, greater than 1.

I hope this answers your question to why you got this error and, helps you to decide on what the correct mode setting should be.

You can work in degree mode but, if the number you place in the brackets of your arc sin or arc cos function is larger than 1 or smaller than -1 you will get a ERR:DOMAIN. Using the arctan or (aka. inverse tan) function in the degree mode can be used for computing endless waves, or as an angles that are usually in brackets of cosine or sine. Example: cos(arctan(Beta). This functions that y to never be greater than 1 or, less than 0. Example: sin(arctan(angle). This functions that y to never be less than -1 or, greater than 1.

I hope this answers your question to why you got this error and, helps you to decide on what the correct mode setting should be.

Dec 17, 2010 | Texas Instruments TI-83 Plus Calculator

Hi,

Your result is clearly incorrect in view of the fact that the sine function ranges from -1 to 1. So it cannot be 36.29. For a moment I thought that maybe you wanted to calculate the arcsine but the results are not even close.

Here is a screen capture that shows you the correct results. You can see that I was right in assuming you were calculating the arcsine but not in radians. You are calculating it in degrees.

On the second line I calculated the arcsine of 3.06/5.17. Look at the top of the screen and you will see RAD. Thus the arcsine is in Radians. I multiplied it by 180/pi to convert the result to degrees, which apparently is what you want to obtain.

Here is what I suggest to you. Press [MODE]. Use the arrow to scroll to the third line, highlight Degree and press [ENTER]. Press [2nd][QUIT] to go to main calculator screen.

**If your angles are in degrees, you should be working with degree as the angle unit, especially if you are calculating the inverse trigonometric functions.**

Hope it helps.

Thank you for using FixYa.

Your result is clearly incorrect in view of the fact that the sine function ranges from -1 to 1. So it cannot be 36.29. For a moment I thought that maybe you wanted to calculate the arcsine but the results are not even close.

Here is a screen capture that shows you the correct results. You can see that I was right in assuming you were calculating the arcsine but not in radians. You are calculating it in degrees.

On the second line I calculated the arcsine of 3.06/5.17. Look at the top of the screen and you will see RAD. Thus the arcsine is in Radians. I multiplied it by 180/pi to convert the result to degrees, which apparently is what you want to obtain.

Here is what I suggest to you. Press [MODE]. Use the arrow to scroll to the third line, highlight Degree and press [ENTER]. Press [2nd][QUIT] to go to main calculator screen.

Hope it helps.

Thank you for using FixYa.

Nov 21, 2009 | Texas Instruments TI-84 Plus Calculator

Hello,

You have 3 keys for the main trigonometric functions: [SIN], [COS] and [TAN]

To use them correctly you must set the angle unit to the one your problem calls for.

Press [SIFT][MODE] [3:Deg] for degree, [4:Rad] for radian, [5:Grad] for grad. Dependig on angle unit chosen a small D, R, or G appears on the top of the screen.

If you need the inverse trigonometric functions arcsine, arccosine, arctangent, you access them by first pressing the [SHIFT] key

Thus

arcsine [SHIFT][SIN] (sin^-1)

arcosine [SHIFT][COS] (cos^-1)

arctangent [SHIFT][TAN] (tan^-1)

The syntax for the function is

[SIN] # [ ) ] [=]; [SIN] 30 [ ) ] [=] gives 0.5

[COS] # [ ) ] [=] [COS] 19 [ ) ] [=] gives 0.945518576

Note: if the argument of the functions are numbers, the right parenthesis is not necessary. But if the argument is an expression (with various operations) better put the parenthesis to make sure the calculator is performing as one wants it to.

By the way, there are no keys, or key combinations to calculate cotangent, cosecant, and secant, but you can use the definitions:

**cotangent (x) = 1/tan(x) Do not confuse it with tan^-1**

**cosecant(x) = 1/sin(x) Do not confuse it with sin^-1**

**secant(x) = 1/cos(x) Do not confuse it with cos^-1**

Hope it helps.

You have 3 keys for the main trigonometric functions: [SIN], [COS] and [TAN]

To use them correctly you must set the angle unit to the one your problem calls for.

Press [SIFT][MODE] [3:Deg] for degree, [4:Rad] for radian, [5:Grad] for grad. Dependig on angle unit chosen a small D, R, or G appears on the top of the screen.

If you need the inverse trigonometric functions arcsine, arccosine, arctangent, you access them by first pressing the [SHIFT] key

Thus

arcsine [SHIFT][SIN] (sin^-1)

arcosine [SHIFT][COS] (cos^-1)

arctangent [SHIFT][TAN] (tan^-1)

The syntax for the function is

[SIN] # [ ) ] [=]; [SIN] 30 [ ) ] [=] gives 0.5

[COS] # [ ) ] [=] [COS] 19 [ ) ] [=] gives 0.945518576

Note: if the argument of the functions are numbers, the right parenthesis is not necessary. But if the argument is an expression (with various operations) better put the parenthesis to make sure the calculator is performing as one wants it to.

By the way, there are no keys, or key combinations to calculate cotangent, cosecant, and secant, but you can use the definitions:

Hope it helps.

Oct 30, 2009 | Casio fx-300ES Calculator

- Pressing [2nd] and [TRIG] displays a menu of all available trigonometric functions.
- The arcsine is represented as menu item [SIN^-1].
- Select the function from the menu, enter the value and press [=].
- A word of caution:

- Before you calculate any inverse trigonometric function value, make sure the angle unit is correct. (Degree or radian).

Oct 06, 2009 | Texas Instruments TI-34II Explorer Plus...

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

Put the calculator in radian mode and it will graph trig functions just fine. If you don't know how to change it to radians, then go to mode and cursor over to select radians. I am assuming you know where the sine, cosine, tangent, etc. keys are.

Dec 31, 2007 | Texas Instruments TI-84 Plus Silver...

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