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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?

This also happens for cos^-1 and tan^-1

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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[.



Posted on Mar 30, 2014

  • k24674 Mar 30, 2014

    OOPS For the inverses of arc tangent and arc cotangent , SHOULD BE For the arc tangent and arc cotangent

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SOURCE: need help withe the sin, cos, tan problem with ti - 83 plus

here are the steps in changing it from radian to degrees
1. turn on your TI-83 plus
2. press the MODE button near the top of your calculator
3.go down to options and move the highlight from radian to degree, press enter and clear
you're good to go

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arc(function) = function^-1, calculated in the first quadrant for simplicity(0-pi/2) (0-90deg), as all functions repeat circularly
just another method of notation

http://www.mathwords.com/t/tangent_inverse.htm

Posted on Jun 21, 2008

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SOURCE: Tan Cos and Sin errors

go to:


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SOURCE: sin, cos, or tan, on casio wrong answer. another cac right answer

Hello,
It may be due to the angle unit used. You can have angles in degrees, in radians, and in grads. You should set the default angle unit to waht you problem calls for.
To set degree as default SHIFT MODE 3
To set radians as default SHIFT MODE 4
To set grads as default SHIFT MODE 5

The values of angles calculated by the inverse trigonometric functions are in the default unit that is set . This may be the source of the wrong answers that you get.

Hope it helps.

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SOURCE: My TI-Nspire won't give me the right answers for sin, cos, or tan

The trig functions depend on the angular mode. Make sure you have the proper one set.

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