I need to use secant function that produceces only two brackets

Secant is the reciprocal of cosine
sec(x)=1/cos(x)
Do not confuse it with the inverse of the cosine function, which is arccos(x) =cos^-1(x)

I worked out the algebra leaving out a few simple steps (special binomial products, Pythagorean theorem in trigonometry, definition of secant and co-secant functions). I am inserting the answer as a set of png pictures. However I am not sure how it will look.

TWO THINGS YOU NEED TO KNOW, Eli.1. Secant will NEVER return a degree measure (or even a radian measure) no matter what computer or calculator you use. The reason is because secant returns the ratio of sides (hypotenuse over adjacent), which has a range of and find its reciprocal (ie, flip the number upside down: the reciprocal of 5 is one-fifth). That's all.B. TI-84 only uses the three basic trig functions. Secant is the reciprocal of cosine. Therefore, in order to find the secant of -1.2 radians you need to be in Radian mode (see #2 above). From there, you just find the cosine of -1.2 and take that values reciprocal (ie, flip the number upside down: the reciprocal of 10 is point one) . That's all. Math lesson: 1 Radian = 180 Degrees. Therefore, 1.2 Radians is roughly one-third of pi, therefore it is roughly one-third of 180 degrees; therefore -1.2 radians would be nearly -60 degrees (a very friendly angle measure). I hope that helps If not, you should call Texas Instruments because they've got friendly people who are happy to assist anyone. Questions like this are right up their ally, advanced questions like the syntax of the poisson cumulative distribution function are not. So, you're fine. For in depth math help holler at www.THEMATHCHEETAH.comIn Short: Secant returns ratios and NOT degrees or radians. Secant is the reciprocal to cosine. Arcsecant WILL return degrees/radians. Your calculator can be set to either mode.TEXAS INSTRUMENTS >>>>> all calculators ever made.

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

Hello,
You have 3 keys for the main trigonometric functions: [SIN], [COS] and [TAN]
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
Thus
arcsine [SHIFT][SIN] (sin^-1)
arcosine [SHIFT][COS] (cos^-1)
arctangent [SHIFT][TAN] (tan^-1)

The syntax for the function is
[SIN] # [ ) ] [=]; [SIN] 30 [ ) ] [=] gives 0.5
[COS] # [ ) ] [=] [COS] 19 [ ) ] [=] gives 0.945518576

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

Hope it helps.

This is a trigonometry problem not a calculator's.
cos(x) +tan(x).sin(x) = ( cos(x) + (sin(x)/cos(x)).sin(x). After reduction to the same denominator (which is cos(x)) you obtain

{cos(x).cos(x) + sin(x).sin(x)} divided by cos(x).
The content of the bracket above is just 1.
Your fraction will have 1 as numerator and cos(x) as denomitor. That is exactly the definition of the secant function i.e. Function sec is the reciprocal (not the inverse) of the cos function, while the arccos is the inverse of cos.

A mild advice: Avoid writing function without specifying the argument (the variable on which a function acts).

Note:

try inputting using brackets (sin(angle))^-1 or 1/(sin(angle))

because cotangent, cosecant, and secant are all inverse trig functions, just type in 1 / |shift| trig function and the number if you are finding the angles. It might not be a dedicated button, but its an extra push, and it will give you the same result. *note that I put the shift press only because that is how you get the inverse tan to get an angle from a tan ratio.*

The 3 trig functions most commonly
used in triangle calculations are


sine = Opposite/Hypotenuse Co secant = Hypotenuse/Opposite

Cosine = Adjacent/Hypotenuse The reciprocals are Secant = Hypotenuse/Adjacent

Tangent = Opposite/ Adjacent Cotangent = Adjacent/Opposite


Hope this helps Loringh

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
arccosine = arccos; on calculators cos^-1,
arcsine = arcsin ; on calculators sin^-1
arctangent= arctan ; on aclculators tan^-1

Hope it helps.