Texas Instruments TI-83 Plus Calculator
Problem for Texas Instruments TI-83 Plus Calculator

I am getting the wrong answers with the tan -1




By xchellemarie on Nov 06, 2009

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i am getting the wrong answers with the tan -1 function

Solution #1

posted on Nov 06, 2009
Not Rated)

k24674

Rank: Guru  Office Equipment  Expert
Rating: 88%, 790 votes
Hello,
That habit of TI, Casio, and Sharp to label the inverse trigonometric functions with the -1 superscript can cause confusions.
  1. The inverse trigonometric functions arcosine, arcsine, and arctangent (labeled by manufacturers as cos^-1, sin^-1, and tan^-1) should not be confused with the other trigonometric functions known as secant(x) =1/cos(x), cosecant(x)=1/sin(x) and cotangent(x) = 1/tan(x).
  2. To avoid errors in the use of the inverse trigonometric functions, one must be careful and set the angle unit to the one required by the problem at hand (degrees, or radians)
  3. To make the trigonometric functions really functions, their range is restricted.
  4. In this calculator arcosine (x) gives results between 0 and 180 degrees (if angle MODE is Degree) or between 0 and Pi radians (if angle MODE is Radian).
  5. The range of results for arcsine(x) and arctangent(x) is between -90 degrees and +90 degrees (if angle MODE Degree) or -Pi/2 and Pi/2 (if angle MODE is Radian)
With this information you should be able to set the angle unit correctly ([MODE][Radian] or [MODE][Degree] ) and interpret the results. If you want to extend the angle to other values, use the periodicity of the trigonometric functions.

Hope it helps


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