Trigonometric formulas that can be used in NC?

Yes, but not much.

The main purpose is to calculate the coordinates with sine (sin): the opposite side of the angle is compared to the upper hypotenuse, cosine (cos): the adjacent edge of the angle is more than the upper hypotenuse, tangent (tan): the opposite side of the angle is compared to the upper adjacent edge, and the cotangent (cot): the adjacent edge of the angle is compared to the upper opposite edge.

CNC is the abbreviation of digital control, CNC technology is the use of digital information to control the mechanical movement and processing process of a method, it is usually controlled by position, angle, speed and other mechanical quantities and mechanical energy flow related to the switch. The generation of numerical control depends on the emergence of data carriers and binary form data operations. In 1908, perforated metal sheet interchangeable data carriers were introduced; At the end of the 19th century, a control system with paper as a data carrier and auxiliary functions was invented; In 1938, Shannon carried out rapid data computing and transmission at the Massachusetts Institute of Technology in the United States, laying the foundation for modern computers, including computer numerical control systems.

CNC technology is developed in close combination with machine tool control.

I'm a CNC major, and I don't use it a lot, mainly when calculating coordinates, I use sin: the opposite side of the angle is more hypotenuse than the upper side.

Cosine: The adjacent edge of the angle is more hypotenuse than the upper side.

Tangent (tan): The opposite side of the angle is more than the adjacent edge.

Cotangent (cot): The adjacent edge of the angle is compared to the opposite edge.

In the calculation formula of machining, the commonly used ones are sine (sin), cosine (cos), tangent (tan) and cot (cot), and there are two other basic ones that are basically not used are secant and cosecant. Let's help you recall the formula in the book, in RT ABC, C=90°, A, B, and C are opposites of A, B, and C, respectively, then:

sin∠a=a/c ； cos∠a=b/c；

tan∠a=a/b ； cot∠a=b/a；

So under the known conditions, you can calculate according to the corresponding formula, and I will use the most commonly used method of finding the angles of the two known right-angled side lengths with tangents

There is a tapered workpiece with a large end diameter of 70, a small end diameter of 35, and a length of 20, how many degrees should this angle be?

Solution: It is known that the two right-angled edges are respectively , so substituting the tangent formula tan a is equal to the solution, and then the angle is calculated by looking up the trigonometric function table or using a scientific calculator by using the inverse function.

Depending on the known conditions, the solution of other formulas is similar.

Hope it helps!!

For example, taper. Tell you that the cone is 10 long and the angle is 35

The relationship between the taper of the general lathe and the trigonometric function.

Taper ratio t = (large diameter d - small diameter d) (length l) tan = (large diameter d - small diameter d) (2*length l) d = d + 2*l* tan

d= d - 2*l* tanθ

tan - d-d) / 2l )