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I'm not sure of the question, but to plot arccos set mode to: graph='function' and angle to 'degrees' (for example). Go to WINDOW and set xmin=-1, xmax=1, xscl=0.1, ymin=0, ymax=180, yscl=50, and xres=1. Press GRAPH. You will get a plot of arccos from -1 to 1.
That is a round-about way to solve cos(x)=0.543 by graphing. Use the inverse function of the cosine arccos or cos^-1
If cos(x)=0.543 then x=arccos(0.543)
To graph a trigonometric function it is more natural to use the radian as the unit. However in geometry it is more common to use the degree. To solve an equation like x=arccos(0.543) where you want the answer to be degree, change the document settings to make the default angle unit the degree.
Make the graphing angle unit the degree and set that as default by selecting Make Default and press Enter.
Is your Ti83 plus in degree mode. You can change to radians by pressing the MODE key, and sliding down 2 more positions, and press the ENTER key. Because you got this error your principle value for x and y should be examined. Generally you really should be in radian mode when working with arcsin (aka. sin^-1), and arccos. You probably weren't using arctan because, you would have never gotten this error message due to the fact it goes on forever. And this way your answers for y= arcsin(x), or arccos(x) will be on the x axis, and domains at 0, pi/2, and pi.
You can work in degree mode but, if the number you place in the brackets of your arc sin or arc cos function is larger than 1 or smaller than -1 you will get a ERR:DOMAIN. Using the arctan or (aka. inverse tan) function in the degree mode can be used for computing endless waves, or as an angles that are usually in brackets of cosine or sine. Example: cos(arctan(Beta). This functions that y to never be greater than 1 or, less than 0. Example: sin(arctan(angle). This functions that y to never be less than -1 or, greater than 1.
I hope this answers your question to why you got this error and, helps you to decide on what the correct mode setting should be.
You cannot enter it on the calculator but you can use the relation arcsec(z) =arccos(1/z) On your calculator arccos is represented as cos^-1. Here is a screen capture from a calculator that has the function. The arcos is computed along with the arcsec for angles in radians (top 2 lines) and in degrees (bottom two lines).
When using trigonometric functions (cos, sin, tan) and their inverses (arccos, arcsin, arctan) one must be aware that the result will depend on the default angle unit : radian, degree, or grad.
Apparently you are working with the degree as the angle unit, so you must configure the calculator for that unit. (See screen capture below) Press [SHIFT][MODE] [3:Deg]
arccos is the same key as the cos, two keys above the 8. The result will be in whichever angular mode you have selected. To change the angular mode, press MODE and select between "RADIAN" and "DEGREE".
cosecant of X =1/sin(X), must not be confused with arc sine [sin^-1]
secant of X =1/cos(X), must not be confused with arc cosine [cos^-1]
cotangent of X =1/tan(X), must not be confused with arc tangent [tan^-1]
Because of these simple relations, calculator makers do not implement them with specific key sequences. On this calculator, you have two ways to calculate one of these functions. EX cosecant of 37 degrees
You enter 1 / [sin] 37 [ ) ] [ENTER] result is 1.661640141
You enter [sin] [ ) ] 37 [ENTER] followed by [X^-1] to take the reciprocal of the previous answer. The [X^-1] key is the one just below [MATH].
A word of caution: secant cosecant and cotangent must not be confused with the inverse trigonometric functions arcsin, arccos, arctan
Hello, There is nothing wrong. Your angle unit is set to radians and the calculator gave you the correct angle the cosine of which is -0.25: the answer is in the same unit as the one your calculator is configured for. Press [MODE]. Use arrow to scroll to 3rd line, highlight Degree and press [ENTER]. Press [2nd][QUIT] to return to main calculator screen. As long as the angle unit is set to degree, the angles calculated by the inverse trigonometric function will be in degrees.
Hello, 1.Set the correct angle unit required by your problem: degrees, radians, or grads. [SHIFT][MODE] [3:deg] or [4:Rad]
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.
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.
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
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