Question about Texas Instruments TI-84 Plus Calculator

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Wrong answer produced in sin / cos problems?

5sin(x)+1 = 0 should equal about 3.343 or 4.365, but my calculator gives me an answer of -11.537...

I know that I am doing all of the steps right...

5sin(x) = -1
-----------------
5

sin^(-1) (-.2) should not equal -11.537. whats wrong with my calculator?

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5sin(x)+1 = 0 is the equation you want to solve?
so
5sin(x) = -1
sin(x) = -(1/5)
arcsin( sin(x) ) = arcsin( -(1/5) )
x = -.201 (radians)
x = -11.5369 (degrees)

Posted on Jun 04, 2010

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When the angle unit is in radians
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When angle unit is in degrees
sin^-1(0.185)=10.60283581
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In the following screen captures the sine of the values is calculated with the unit specified inside the formula (degree symbol and radian symbol are inserted to show you the unit). In the last calculation the value of the sine is practically 0.184
Remember that when angle is in radians, for very small angles (less than 10 degrees), sin(x) and tan (x) are about equal to the value of the angle in radians

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My TI-30XB WONT CALCULATE INVERSE COS OR INVERSE SIN


Does it refuse to do so or does it give an error message?
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Let's start with a little background.

The cot(x) is also known as the cotangent(x) and it equals 1/tan(x) which equals cos(x)/sin(x). I'm showing these formulas because your calculator may not have a cot button but it will probably have buttons for tan, cos, and sin.

Your calculator may also have buttons for tan-1, cos-1 and sin-1. These are the inverse functions for tan, cos, and sin. If you enter a number and then push the tan-1 button, the result is the angle whose tangent is the entered number. For example, it you enter 1 and push the tan-1 button the answer will be 45 deg because tan (45 deg) = 1.

Now let's look at the problem, cot(x) = -0.6.
The first thing we need to know is do you want the answer in degrees or radians? Your calculator will have both modes. The default mode when you first turn it on is probably degrees. If this problem is in radians you will need to change the mode of your calculator over to radians before we start.

If cot(x) = -0.6, then tan(x) = 1/-0.6 from the formula I showed in the background section.

This means tan(x) = -1.6666666...

Now we just enter -1.66666667 and hit the tan-1 button to get the answer.

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If we're operating in degrees the answer is -59.036 deg.

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Hi ssmith63,
Put the calculator in radian angle mode. The top answer is in AUTO mode and, The bottom is in Approx mode.

oneplusgh_47.jpg
I converted 60 degrees into pi/3 radian which equals 1.0472 radians. I figured 5 significant digits was good enough since, you only went 4. If you have any question just post them and, I'll respond quickly.

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TI89 is giving wrong answer for the integral of sec(x). Please help. It gives the answer as: ln[ |cos(x) / (sin(x)-1)| ] when it should be ln[ |(sin(x)-1) / cos(x)| ]. Why is it giving the wrong...


Hi danagasta,

If my last instructions did not work then you need to reset your RAM. You are missing the negative sign and, I have no idea where you got the absolute value inside the brackets.
Yes, the absolute value are used in books and, on integral tables but, I can asure you that the Ti 89 should not have produce them in this answer.

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Errors that do not match the suspected, I am pretty sure that Texas Instruments would have you clear the RAM. I do not like resetting the RAM but, I could not find the cause to why you got the answer you did. And so far no other expert has produced a solution to convince me otherwise.

I was not able to come up with any of the 3 answers MiB8888 did on my Ti 89. I am not saying that they are not good answers, they are book and integral tables answers. You are not going to get them on the Ti 89.

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Hello,
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If you need the inverse trigonometric functions arcsine, arccosine, arctangent, you access them by first pressing the [SHIFT] key
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The syntax for the function is
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