Question about Texas Instruments TI-83 Plus Calculator

# Why is it that whenever I run an equation involving the sine function, when I do the inverse, the degree measure is always in between 90 and -90 is there a way the calculator can output degress ranging from 0 to 360?

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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].

Posted on Feb 19, 2010

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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

### Find inverse sin

The inverse of a function usually shares the same physical key as the direct function.

Feb 03, 2014 | HP 30s Calculator

### Inverse sine function

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

### When i try to do a inverse function e.g sin^-1 90 i keep getting error 2 can anyone help me

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

### Hi, I need to do an equation that uses inverse sine for 2.5 and it isnt letting me

You cannot take the inverse sine of 2.5. The biggest number you can take an inverse sin of is 1.

Sep 15, 2011 | Texas Instruments TI-83 Plus Calculator

### I'm trying to do inverse sine and cosine equations but I'm receiving a message that there is a domain error. Is there anything I can do or press like a reset button?

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.

Mar 08, 2011 | Texas Instruments TI-84 Plus Calculator

### Using inverse cosign and inverse sin always bring up domain errrors. For example, I used the equation COS -1(185 / -20) . And it always came up with domain error. This is the same equation my teacher gave...

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!

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

### How do I use the arcsine function to transform compass degrees

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

Feb 27, 2011 | Texas Instruments TI-30XA Calculator

### How do I find inverse sine, cosine and tangent in degrees

First, make sure the calculator is set to degrees (2nd [FORMAT] down-arrow).

Put in the value, press INV, the appropriate function key, and =.

For example, to find the inverse sine of .3, press
. 3 INV [SIN] =

Dec 03, 2010 | Texas Instruments BA-II Plus Calculator

### Why the cos of 90 is -0.44... ?? and the tan sin its'nt correct in the calculator what can i do ?

The trigonometric function evaluations depend on the angle unit you are using: degree, radian, grad
While cos(90 deg)= 0,
cos(90 rad )=cos(90* 180/pi degrees)= -.448073616

ALWAYS CHECK UNITS before using trigonometric functions or their inverse functions.

May 13, 2010 | Casio FX-7400G Plus Calculator

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