I didn't get what you were asking until I started to answer. The parameter is the angle. The algorithm is https://en.wikipedia.org/wiki/CORDIC . In (most?) compiled languages, this algorithm is performed on hardware. In (some?) interpreted languages, it's done in hardware.

This is kind of a weirdly phrased question.

Mathematically, THE argument of the sine function is the angle in question. One definition of sine, using the sides of a right triangle, is the ratio of the opposite leg to the hypotenuse of said triangle: sin(theta)=opposite/hypotenuse.

Edit: it occurred to me that maybe what you're asking is how to compute the angle, theta, for which sin(theta) = a certain ratio of opposite/hypotenuse. There is an inverse sine function (often called arcsin) that does just that. Arcsin(opp/hyp)=theta. That's the case where it would make sense to take the side lengths as arguments.

Oddly enough, on a computer, I have not seen secant, cosecant, or cotangent.

I have seen sin, cos, tan, arcsin, arccos, and arctan.

Though the arc functions will only have one parameter, so if this is homework, you'll probably be avoiding the arcs and using secant and friends

Anyways:

sin ( angle )

If someone is asking you, "which operation should you use in the body of function sin ( hyponetuse, opposite ) then I imagine the expected answer would be, / because

1. / is an operation, and because
2. opposite / hypotenuse will perform the division that yields the sine of whatever triangle those two sides belong to.

The parameter for the sin function is an angle. The angle can be specified in either radians or degrees, depending on the context. The output of the sin function is the ratio between the opposite side and the hypotenuse on a right triangle like this.

There are many different algorithms which can be used to calculate sin(a), but all that I know require a decent understanding of Calculus (Taylor Series) or Trigonometry (CORDIC). You can find a Python implementation of the CORDIC algorithm here.

In a more general sense, the "operation" of the sin function is the "sin" operation. In maths, one very rarely goes lower than f(a) = sin(a) and when one does, it's often just to find an alternate way to estimate the value of sin. One can think of the sin function as being similar to ln(x) in that it is much closer to an operation than being an actual function.

O/H?

https://youtu.be/Dsf6ADwJ66E?si=ISKljD_IdxC2_Na_

There ya go

I'm not a math expert by any means so I can't really answer the first part well. I can say that when I was taught trig, they were used to calculate angles in a triangle, and the function you used was dependent on the info you had. Sine/Cosecant, Cosine/Secant, and Tangent/Cotangent are the functions. Each function is paired with an opposite. To remember the formula, it's Soh Cah Toa, where the first letter is the the function, the second two are the inputs. So, Sin(x) == opposite/hypotenuse, and then the opposite of that is Sec(x) == hypotenuse/opposite, and so on.

That's poorly explained and leaves a lot of info on the table, but that's what I remember.

I'm probably way too elementary for this post, but just in case someone doesn't know about SohCahToa (pro. soh-cah-toh-ah).

Soh

• sin is opposite over hypotenuse

Cah

• cos is adjacent over hypotenuse

Toa

• tan is opposite over adjacent

I made it through my college trigonometry class by just remembering that one simple pneumonic. Everything else that was taught could be derived from it.

also what are the other fives operations, sin was just an example