You cannot separate architecture from trigonometry, which is critical for curving surfaces in building materials such as steel and glass. The science is used to find the heights of buildings, or create dimensional objects to use in buildings. Trigonometry is used to make demarcations for cubicles in an office building. It is useful when designing a building to predetermine geometrical patterns and how much material and labor will required in order to erect a structure. When the building is erected, it will not only be strong, it will have accurate measurements.
The same science is used in the music industry. Sound travels in waves that is used in developing computer generated music. A computer will not understand music like a human being; instead it represents it mathematically by its constituent sound waves. Precisely, sound engineers who work in advancing computer music and hi-tech composers have to apply the basic law of trigonometry such as the cosine and sine function. Music waves patterns are are not as regular as sine and cosine function, but it is still helpful in developing computer music.
Triangulation, which is an application of trigonometry, is used by astronomers to calculate the distance to the nearby stars. In geography, it is used to measures the distance between landmarks. It is also used in satellite navigation systems. For instance, a pilot taking off from JFK airport in New York will have to know which angle to take off from and when to turn at a certain angle in the sky in order to reach Heathrow airport in London.