Question about Casio CFX 9850GB Plus Calculator

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Calculation with angle

Hi there,

I want to solve calculations with amplitude and an angle! Therefore I need to know if this is possible with the calculator Casio CFX-9850GB Plus and how to do this?
Maybe the calculator is only able to calculate the complex values so i need to to change the given amplitude and angle to the complex value.
Hopefully someone knows how to solve the angle problem.
Thank you

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  • Casio Master
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Hello,
You perform all calculations in complex mode. When you need to convert to angle amplitude, in the [RUN] screen press [OPTN][F3:CMPLX]
To obtain the angle press [Arg] ( complex number) [EXE]
To obtain the magnitude, amplitude press [Abs] (complex number) [EXE].
Since the [ANS] memory keeps only the last value calculated, you may have to store your result (the complex number) in a variable.

1+ 1 i [white right arrow under tan key to store] [ALPHA] H
Display shows 1+1i. Then
[Abs] [ALPHA] H [EXE] gives 1.414213562
[Arg] [ALPHA] H [EXE] gives 45

Hope it helps.

Posted on Sep 21, 2009

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Posted on Jan 02, 2017

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When you use trigonometric functions you should always make certain that the angle unit the calculator is configured for is the intended one.
When the unit is set to degree sin(37)=0.6018
When the angle unit is set to radian, sin(37 rad)=-0.6435

Change the angle unit to degree.
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Press the relevant function key [SIN],[COS],[TAN] followed by the angle value.
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sec(x)=1/cos(x)
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When calculating trigonometric functions one must make sure that the angle unit the calculator is using is the correct one.

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What is so surprising? The sine and cosine functions have ranges that span the closed interval [-1,1]. As to the tangent function, its range is the the whole real line.

This being said, you should keep in mind that there are three angle units: the degree, the radian, and the grad.
When you want to calculate the sine, cosine, or tangent of a number, that number is not just a number. It is an angle, and as an angle it has a unit.

For this reason a calculator generally has two angle units defined (degree and radian), and possibly the grad. BEFORE calculating any trigonometric function you must ascertain that the angle is in the correct unit.

Clearly, in the problem you are trying to solve angle values are given in degrees, but your calculator is configured to interpret angles values in radians.

To set the default angle unit to degree press [MODE] , then press down arrow twice to reach the line (radian, degree). Highlight the word degree and press [ENTER] to set the default angle unit to degree.

Unfortunately the TI 8xPLUS family of calculators does not have a status bar on screen to remind you of the modes, and if you do not remember to check the current unit you get errors (at least unexpected results).

However, there is a way to avoid the errors and that is to enter the unit explicitly after the angle value. To do that you press [2nd][APPS] to open the (ANGLE) menu list. Try it.
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Hello,

Before starting to enter the angle measure to calculate the value of a trigonometric function (sine, cosine, tangent) you must make sure that the current angle unit (degree, radian, grad) the calculator is configured to be using is the same that your problem requires. For instance, if you are solving a problem in which the angles are given in degrees you must verify that the calculator is configured to work in degrees.

When calculator is turned on, the angle unit is reset to degrees, but just to make sure it still is, look at the display: It should show the indicator DEG. If the display indicator is not DEG press the key [DRG] once or twice until you see the DEG on the screen.
The angle unit being taken care of, we turn to the actual calculation
Usually, to calculate the sine of an angle, you enter the angle value, press the [SIN] key and hit [=]. As you can see the sine function eats the number stored in its current register and calculates its sine.

To make sure that the calculator is taking the sine of 65 and not of 25*65, I would enter the calculation as follows
[65 [SIN] [*] 25 [=] : the result should be 22.65769468
or
25[*][ ( ] 65 [SIN] [ ) ] [=]

In the last key sequence, the use of parentheses forces the calculator to pause all previous calculations and wait for the closing right parenthesis. When the right parenthesis is entered, the calculator takes care of the contents of the parentheses first, then resumes the operations entered before the parentheses.

Importance of checking the angle unit before a calculation

Let us perform the calculation with angle unit
  1. in degrees : 25* sin(65) = 22.65769468
  2. in radians : 25 *sin(65) = 20.67071699
As you can see, the two values are not very far apart and since you are expecting a value that does not exceed 25 you might want to check your result.

Hope it helps.
Thank you for rating this solution

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Hi,
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Similarly if radian is the default angle unit in your calculator, any angle returned by an inverse trigonometric function (arcos, arcsin, arctan) is in radian.

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