Question about Casio FX-115ES Scientific Calculator

# Inverse sine function

I usually can do inverse sine, cosine etc fine. However, today I tried inputting arcsin(20/1) which means inverse sin(20/1) but it says math: ERROR. HELP???

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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.

Posted on Oct 22, 2013

Hi,
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Posted on Jan 02, 2017

SOURCE: Hi How do i do sin

You may be working in degrees when you need to be in radians, or vice versa.

Press the MODE button until it offers you the choice D R G (Degrees, radians, grads) and select the corresponding number. Then try again.

Posted on Jul 29, 2011

because cotangent, cosecant, and secant are all inverse trig functions, just type in 1 / |shift| trig function and the number if you are finding the angles. It might not be a dedicated button, but its an extra push, and it will give you the same result. *note that I put the shift press only because that is how you get the inverse tan to get an angle from a tan ratio.*

Posted on May 06, 2009

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## Related Questions:

### 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

### "Undefined" as answer to an inverse sine calculation

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

Mar 17, 2014 | Texas Instruments TI 89 Titanium Graphing...

### 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

### 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

### Casio calculator fx115es inverse key not working consistently

The inverse sine is defined only for numbers in the range [-1, +1].
The sine of a number is at most 1.0. There is no number whose sine is 1.5, which is what you're asking for.
The same applies to the cosine and inverse cosine.

Oct 24, 2011 | Casio FX-115ES Scientific 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

### How do you find the inverse of sine, cosine, or tangent?

Press the SHIFT key before the sin, cos, or tan keys. For example, to calculate the inverse sine of .5 (arcsin(0.5)), press SHIFT sin . 5 ) =

Mar 03, 2011 | Casio FX-115ES Scientific Calculator

### Ive been doing inverse sine, inverse cosine, and inverse tangent problems for a few hours now but all of a sudden when i put in this one problem it gives me: ERR:DOMAIN. im not sure what is wrong... I've...

Since you are familiar with sines, cosines, you know that their ranges (interval of values) varies from -1 to 1. The inverse functions of sine and cosine tkae their values in that very domain, [-1,1].
However you fed the arc sine function (sin^-1) a vlaue of (25/20.48) and that value is obviously larger outside the [-1,1] domain, hence the DOMAIN error message.

No such domain limitations exist for arc tangent (tan^-1) because the range of the tangent function spans the open interval ]negative infinity to positive infinity[.

Nov 02, 2010 | Texas Instruments TI-84 Plus Silver...

### 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

### Csc, sec functions

Hello,
I have not yet seen a calculator that has a dedicated key for the cosecant , secant, nor cotangente functions, because they are directly connected with the sine, the cosine, and the tangente.

Cosecant (x) = 1/sin(x)
Secant (x) = 1/cos(x)
Cotangente(x) = 1/tan(x)

Do not confuse these functions with the inverse trigonometric functions, usually represented as
arccosine = arccos; on calculators cos^-1,
arcsine = arcsin ; on calculators sin^-1
arctangent= arctan ; on aclculators tan^-1

Hope it helps.

Feb 08, 2008 | Casio FX-115W Plus Calculator

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