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Posted on Jan 21, 2010
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How do I put cosecant, secant, and cotangent functions into my ti-84 plus?

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k24674

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  • Texas Instru... Master 8,093 Answers
  • Posted on Jan 21, 2010
k24674
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By definition

  1. cosecant of X =1/sin(X), must not be confused with arc sine [sin^-1]
  2. secant of X =1/cos(X), must not be confused with arc cosine [cos^-1]
  3. 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
  1. You enter 1 / [sin] 37 [ ) ] [ENTER] result is 1.661640141
  2. 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

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  • Posted on Feb 16, 2010
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There are no keys for cosecant, secant, and cotangent. You can calculate those ratios as

csc(x) = 1/sin(x)

sec(x) = 1/cos(x)

cot(x) = 1/tan(x)

Simply calculate the trig ratio on the right and then take its reciprocal.
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When do I use the x-1 key and when do I use the inverse function keys? I know inverse function keys provide cosecant, secant and cotangent, but is that all they are used for?

Use x-1 to calculate 1/x (x to the negative-one power).

What I think you're calling the inverse function keys actually calculate arcsine, arccosine, and arctangent.

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Hello,
That habit of TI, Casio, and Sharp to label the inverse trigonometric functions with the -1 superscript can cause confusions.
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  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.
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Hello,
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To use them correctly you must set the angle unit to the one your problem calls for.
Press [SIFT][MODE] [3:Deg] for degree, [4:Rad] for radian, [5:Grad] for grad. Dependig on angle unit chosen a small D, R, or G appears on the top of the screen.

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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Note: if the argument of the functions are numbers, the right parenthesis is not necessary. But if the argument is an expression (with various operations) better put the parenthesis to make sure the calculator is performing as one wants it to.

By the way, there are no keys, or key combinations to calculate cotangent, cosecant, and secant, but you can use the definitions:

cotangent (x) = 1/tan(x) Do not confuse it with tan^-1
cosecant(x) = 1/sin(x) Do not confuse it with sin^-1
secant(x) = 1/cos(x) Do not confuse it with cos^-1

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Csc, sec functions

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.

Cosecant (x) = 1/sin(x)
Secant (x) = 1/cos(x)
Cotangente(x) = 1/tan(x)

Do not confuse these functions with the inverse trigonometric functions, usually represented as
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arcsine = arcsin ; on calculators sin^-1
arctangent= arctan ; on aclculators tan^-1

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