"Err: Domain" whenever i type "arcsin" (with a number of course) i never get an answer and instead "Err:Domain" i will type in lots of different numbers, negative, positive, change the mode from radian to degree, etc. and nothing seems to work. how can i fix this?

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

The arccosine function is defined for arguments in the range -1 to +1. -125.85/-120.36 is larger than 1 and hence outside the domain of the arccosine function.

You tried to use an argument to a function that was not in the function's domain. For example, the arcsine function takes an argument from negative one to positive one. Trying to take the arcsine of 2 will generate a domain error.

If you need further assistance, please specify the exact function and argument that is generating this error.

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.

Both answers are correct. Arcsine is a periodic function with period 2pi. If you add 2pi to -1.31 you'll get 4.97 .If you define the primary domain to be from -pi to +pi then the first answer is correct. If you define the primary domain to be from 0 to +2pi then the second answer is correct.

Cristina,

You might be referring to something else, so let me try to knock out two birds with one stone.

The arcsine function is the inverse sine function. It will take a ratio input and produce a degree/radian output. It isn't exactly transforming anything into degrees. Instead, it is telling you the corresponding angle that goes with the ratio of opposite over hypotenuse (your input).

With that said, I am going to try to answer your question with two possible solutions.

1. To find the arcsine of a value/input (between -1 and 1) you simply have to press {[2ND]} {[SIN]} {["NUMBER"]}. For example, if I wanted the arcsine of one-half I would press {[2ND]} {[SIN]} {[.]} {[5]} {[=]}. The computer would display 30 (degrees) because the sine of thirty degrees is one-half, therefore the arcsine of one-half is 30 degrees. Inverse functions in math are often written with a faux-exponent of negative one. Inverse sine (ie arcsine) should be written in blue above the sine button on your calculator.

2. To convert a compass reading into a concrete degree measure you will NOT use arcsine. Instead, you can use the Degree-Minute-Second key which is on the TI-30X. The degree portion is naturally symbolized by the superscript o; the minute is symbolized by the single apostrophe mark, the second symbol is the quotation mark. So, to convert a compass reading of 10 degrees-30 minutes - 30 seconds you would type {[10]} {[o ' "]} {[=]} {[30]} {[o ' "]} {[ -> ]} {[=]} {[30]} {[o ' "]} {[->]} {[->]} {[=]} {[=]}. The calculator should display 10.50833333, which represents the hardcore angle measure that corresponds with 10-degrees-30minutes-30seconds. Also, it should be known that this is a much better thing to do by hand because it will deeply ingrain the basic mathematics going on. Even though we're talking about degree measures, the minutes & seconds are still at a 60 unit benchmark: meaning that there are 60 minutes in a degree and 60 seconds in a minute. Therefore, 30 minutes & 30 seconds is 30.5 seconds, which is 50.83333 percent of 1 degree. Thus, 10.5083333 degreeees. Also, you can think of it as 3600 seconds in a degree, therefore you had 1830 seconds which equated to 50.83333% of 1 degree. Thus, 10.50833333 degrees total.



Alright...I hope that helps you with either question you might have been referring to. Also, I hope you enjoyed the minor math lesson involved here. Maybe you already knew it. If that was the case then I am sorry. Either way, I own a TI-30XB Solar (among many other TI Calculators) and I highly doubt that the buttons on my calculator are starkly different from yours.

If you have more calculator or even math questions just post them on here and I'll hack away.

Arrivederci.


The Math Cheetah
www.THEMATHCHEETAH.com

The arcsine function only takes arguments in the range of negative one to positive one. 128 is not in the domain of the arcsine function.

Could you post the problem you're trying to calculate?

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.

The arcsine is always going to return the principal value. Remember that there is an infinite number of values for arcsin(x) for [-1...1].

Arcsine is only defined for arguments in the range [-1...+1]. If you supply an argument outside that range, you will get a domain error.