the branch of mathematics dealing with the relations of the sides and angles of triangles and with the relevant functions of any angles.
beta can be anything that you define it to be.
Trigonometry is used to define triangles, but it is also useful in the representation of waves. Sound engineers, obviously, use deal with sound waves. The pitch, volume, and direction of a sound wave are all deeply rooted in trigonometry.
plane trigonometry spherical trigonometry
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.
It is a number - in trigonometry or elsewhere.
TRIGONOMETRY
Hipparchus is the father of trigonometry.
Trigonometry is applied in construction and building, as trigonometry measures right angled triangles.
Well the short answer I know of, is that through the use of linear algebra operations, (which define trigonometry), 3D models can be manipulated very easily. All of the points on a 3D display are run though a matrix multiplication operation that to the effect of multiplying each point by the cos(x).
Plane trigonometry is trigonometry carried out in (on) a plane. This could be contrasted with spherical trigonometry, which is trigonometry carried out on the surface of a sphere. Certainly there are some other more complex forms of trig.
We can use trigonometry in construction in several aspects: 1- Measure field, lots and areas; -- surveying uses trigonometry extensively 2- Make parallels or perpendiculars walls; 3- Install ceramic tiles; 4- Define roof inclination; 5- calculate how long to make diagonal support beams And many others... Construction workers can use trigonometry it to find the distance of a wall of diagonal space in a rectangle shaped room. Also, you should go ask your math teacher about this for further information.
Trigonometry based on a unit circle and radians and trigonometry based on a right triangle.